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  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<img src=\"https://py-sphviewer.googlecode.com/svn/wiki/head.png\" /> "
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "\n",
      "Py-SPHViewer Tutorial"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Introduction"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this tutorial I will assume that you have downloaded the package and everything is working well in your computer. I will also assume that you usually work in Python. \n",
      "\n",
      "Please, be aware that in order for sphviewer to work, you need to have matplotlib, numpy and scipy correctly installed in your system. "
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Structure of sphviewer"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Attending suggestions from Pablo Benitez Llambay, I modified completely the structure of sphviewer after version 0.45. Please, do not use any older version because they are deprecated and very different from the new ones. \n",
      "\n",
      "The latest version (v 0.136) is structured as a package. There are different modules stores in a main directory. I think in this way it will be easier to maintain and to develop different branches in case it is necessary.\n",
      "\n",
      "Current sphviewer is divided into 4 different main clasess, which are:\n",
      "\n",
      "- Particles\n",
      "- Scene\n",
      "- Camera \n",
      "- Render\n",
      "\n",
      "Those classes represent an intuitive way of thinking. In fact, The final image is made after **Render** a set of **Particles** as their are looked by a **Camera**, which defines the **Scene**. According to this, I can say that:\n",
      "\n",
      "1) **sphviewer.Particles** is the main class which stores the particles information and computes some of their properties that will be used later in order to make the images.\n",
      "2) **sphviewer.Camera** is the class which defines the parameters of the camera, like the point at which the camera is looking at, the distance from the camera to such a point, zoom, number of pixels of its detector, etc.\n",
      "3) **sphviewer.Scene** is the class that defines the link between the particles and the camera. In other words, it computes the position and properties of the particles as they are seen from the camera. \n",
      "4) **sphviewer.Render** is the responsible of making the final image. It redenders the set of particles using a SPH kernel-interpolation scheme. It produces the images that can be used after to make a movie. \n"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Using Py-SPHViewer"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In order to understand how sphviewer works, I show below a very simple example of its use. Let's make a disk with a radial density profile. I suggest to use 10000 particles. In the following example we are going to use numpy, matplotlib and (of course) sphviewer: "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "import sphviewer"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n1 = 10000 #number of particles to make the disk\n",
      "n2 = n1/3  # number of particles to make the background\n",
      "r  = np.random.rand(n1)\n",
      "phi = 2*np.pi*np.random.rand(n1)\n",
      "pos = np.zeros([3,n1], dtype=np.float32)\n",
      "pos[0,:] = r*np.cos(phi)\n",
      "pos[1,:] = r*np.sin(phi)\n",
      "pos[2,:] = 0.1*np.random.rand(n1)\n",
      "\n",
      "background = -2+4*np.random.rand(3,n2)\n",
      "pos = np.concatenate((pos,background),axis=1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(1, figsize=(10,5))\n",
      "ax1  = fig.add_subplot(121)\n",
      "ax2  = fig.add_subplot(122)\n",
      "ax1.plot(pos[0,:], pos[1,:], 'k.')\n",
      "ax2.plot(pos[0,:], pos[2,:], 'k.')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "[<matplotlib.lines.Line2D at 0x406d110>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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rv5SjQHHvm5UylorF5BItmugDNw/wjSnXspQpOCtKAWF6hmZOkWcrj3mP58MK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YrNXU2eWYNS67fWTg1tUylhf2KO89bvPGOCWtHFxcXw7NmzER+nlKhU3nYpeADvSAxBj2ZGqjlH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\noxnNaEI0A14zmtGMZjSjGc1oRhOi/x96Rc2eUrxpwAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x3f1f250>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Before to continue, we have to assume some mass for the particles. I suggest to assume the same mass for all the particles (whith an arbitrary value of 1):"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mass = np.ones(n1+n2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Our goal is to render the particles with sphviewer. I will go through the steps faster:\n",
      "\n",
      "Steps for making a plot in sphviewer are essentially 3:\n",
      "\n",
      "- Define the **Particles** we want to render:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Particles = sphviewer.Particles(pos,mass)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "- Define the Scene:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Scene = sphviewer.Scene(Particles)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "- Render the Scene:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Render = sphviewer.Render(Scene)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This is everything you need to know for making nice images. If you want to look at the final image, you can use the get_image() method from Render:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img = Render.get_image()\n",
      "extent = Render.get_extent()\n",
      "fig = plt.figure(1,figsize=(5,5))\n",
      "ax1 = fig.add_subplot(111)\n",
      "ax1.imshow(img, extent=extent, origin='lower', cmap='hot')\n",
      "ax1.set_xlabel('X', size=15)\n",
      "ax1.set_ylabel('Y', size=15)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<matplotlib.text.Text at 0x4788110>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAVAAAAFHCAYAAAD3OxT6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqCQ1MkAlqZEBKkmNDFBJamSASlKj/wftjLOnlKoJiQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4504ed0>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "You can realize that the image is not very clear. Actually it does not look very nice. What's going on? the problem is the dynamical range. The central region in the image is too dense and it spends most of the available colors. In this case, it should be better to use a logarithm scale. Sphviewer have some tools that helps to change the scale on the image:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Render.set_logscale()\n",
      "img = Render.get_image()\n",
      "extent = Render.get_extent()\n",
      "fig = plt.figure(1,figsize=(5,5))\n",
      "ax1 = fig.add_subplot(111)\n",
      "ax1.imshow(img, extent=extent, origin='lower', cmap='hot', vmax=1.5)\n",
      "ax1.set_xlabel('X', size=15)\n",
      "ax1.set_ylabel('Y', size=15)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "<matplotlib.text.Text at 0x47a5690>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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tZHbxfZls5RmorkSz91WNKRYt9s8PB3RaOpUVs7pAaz+bQwEqA1HUjU/V6X7X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\n/9q92nsmAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x48b7d50>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This is much better. In fact, we can distiguish the central region, the disk and the background cube as well. However, the camera is still to far from the object. The distance from the Camera to the object was choosen automatically by sphviewer. You can define your own camera, or modify the parameters of the existing one. We are going to put the camera closer to the object: \n",
      "\n",
      "- First, let's checks the current distance between the camera and the central disk:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "camera = Scene.Camera.get_params()\n",
      "print camera['r']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "6.92480858525\n"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "So, we are at a distance of 6.92 in our self consistent units. Let's put the camera at a distance of 2.00 "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Scene.update_camera(r=2.00)\n",
      "Render = sphviewer.Render(Scene)\n",
      "Render.set_logscale()\n",
      "img = Render.get_image()\n",
      "extent = Render.get_extent()\n",
      "fig = plt.figure(1,figsize=(5,5))\n",
      "ax1 = fig.add_subplot(111)\n",
      "ax1.imshow(img, extent=extent, origin='lower', cmap='hot', vmax=0.5)\n",
      "ax1.set_xlabel('X', size=15)\n",
      "ax1.set_ylabel('Y', size=15)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "<matplotlib.text.Text at 0x48e2110>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Nh3TxVJ9E2q1Qr5X3BJKOlYmkyyEJdEaYRTKoD2dZoSVsp+yuk6aefeIQGLWm\n5Ip7xnkjbO/xTSVgdDO7cPzEtoHRrLJKLiU1ko5yn851lYus7+/SZNYfa9vauQE7BQ4fwsvH8BLw\nKTrSUvZ8k8aKe6J9lqV2p+3PTRpCdjWBCMbPQ0SlQUnSMPUTRq1ATxhJ3eDlpC6I37DX0q/KClVY\nQpbrfbq4bZ/0yclTv5cnkjTYXlVUPysrdKjhgSTQJcdZf6yo7fR4pLt8gv787s7rporCbc/qKyYp\nYblcdLn1O6EtSZNi/0XW0MUIZbnJ3ZZ0SNaekkwiDnaAx2D7Hlz/dGO93gPeQEOIWzREs0lDnm9u\nP3vYbqfE1FPAc+1xJWGSDlRWqa6vC95lJdO28wY7D3erseup3yNqOzWA6feQ5Vmszf2233fbPrqb\nrmNE3aj+B1615InDZalMGgKSQGeAq1ifl4mBXqQffW3FGJgnaGr4Plqa3rbcSbnDIhu5rZ5hd7mN\nJ0hE2Dr+kW0nspc2VBlvkY5IdY+OTG7IVN3vwgJvoCHEN9DFTDdpCFWvlV2/3rb/JuBz2+8fAK8A\nL9NZfV5pJUKVNagsuax4Sat0DNWwezhFpOrhESdMWZ3u9mti5TgHgH43hSp8YBQUEvGQjH93lXjo\nOsVCk0BngKtm4C9LoroZ+vpQGO2PxyI9oy6LVKTl9eO+nffRJUv6TJrFQ9uvz33si7/J3Y8JKl/G\nQ7hJ47bfaN8f0rry92C7Zb0tGiJ8BLyxfUBjrZ3QVRKJiNTu6zrUDdi9DrfuNf2/z+gUeY/oBpGH\n1k4kpY12P7Uva9nr3D2U4iEPxT5hNK68TzejlGKesR7ek0yyLDfpVAgex3bLdZzu9zJYl6x8EuiK\nw13LvkSQ4GWDMJq1FZxksWfP2su99FJEj+/5sZ08PaanG9rlUJpUWHHcazSEeKP97A4NMb5yAE+/\nCuzBzQJvrE27zxbYfaLp4K1XmoNsAI8O4ZN0CRjV3xfg8AR2K5Rt2D7sjuv90LnKOlaM8y6dxalz\nKe33mmH+frgmCpNowIgxbI9Zi0x1zf16urWv9x53VtjDq5L0OziZXoUEk0ATC8MkbnzcJ1p5sV7a\niSxm6v29u/VKSnjsT3FI14b2Wb+Htq+v/yMNplu0xba7bp9pdqJNmjLPZ9vjv0pnVe7QNvoYXD+C\n+lrryj8OfHbTl02x5Wuw9yo8vt8R6A06If4GcPAAHtRuBc6+ZI5CALt0GlJZmR67FDGrhFPvZXU+\nsvbcM/C33m0lAAAgAElEQVTByLPyKii4b7+Vew4ukxJBewGBKqQ2bJtput7rQKJJoGsA1/r1Zc9d\n1+jE6qTZlwDRqppeB+/ZXOxZbXgc1MX2MSYXCV5EpMTM08CtLdjYgNLWYD4A9gqNifc4cBNu/HFD\nomzT+OVP0DDkMfCHwEfg8U9CfdTssgfc3oKNVsj6YL8haK9xd61llGYdM7pWvKsbRJaup1XIdpsm\nGaSkmSxBtaNrBqNTEcryv89oYsjDHSJGH+Bi/Juw/TSSSEmgiUvjMtVBZ+GyVuh5lUl9kqNYy67v\n3HqRzIWwrYThspxgdHJgxRd1k/p3SrLI8nKrR4ThZZciqCdoyPN54OldKLeBY9jbb2KdVBpylKq+\njQGUF9qGXwE+gyajdItmp21gH2690M5aX2BDCxodwO6LsHHQnKOv/673cus1NZ7Lv+Q269prsPCi\nhBttV0WsqpTSb+O17T6toEvLXCLlx3GIlH2QckXFOJlTZuPPRhLomsFdQ8Xx4LTmMEpq/EaDjuRU\nhYPtvxFeqy2fd9SPKeJ/SJdhlrToEZ0m8wYNeT5zHXiSrtRoh4YUNS2TdEdaKP5pGvNOotCnGA2u\n3oT6KXh00hK7/ONrsHkXdg86QhS5KWlUaYj0cbpp6nwtJJ+cRddcLr1PUuJxR+2rU/EBxuObLvly\nKZWI79D28dh1RB9JTstynFZYYKhZ/STQKWJa8qNpoO8G8KSNbmyf1EM3nk/0W8J+bvFIC/mQLpbZ\np0BQ2aQLy2Uxiazj9G8bdGSlBM114LHCqLmnO0s+vta9cMX7zXbb14CP05ixJzS6pD8EPgUPTlqL\nutIEMVvWOdnvBPIbdJpLTRaiGKXkSCoI8FnylWzat+2VIHMvQJa6SMcF8cKWtalT1wQm7qoL+q1j\nAjAmEYdKUENHEuiKoi8E4LFNt4h0Y7kkyeOYUeLiSwxDlxTRdrKoPDnkCRG3qpTQEFm4xerWbKUV\nu1fYbRNDr0+59IgmUHmDLtUtNtulS4PfoDHt/rBtVEy431Qv7RXYVTDzU00W/u5Rs3ubwOde89Xr\n2kuRnvovzeotRi18Cd+9jFbnpcFEi+JJtC+3uoY2/Drr2ecW9bi1F074d4npIAl0oLiqNRstUE/G\nODH6DS3S9PlBRQ5yvyUaVyggyp90DLXr2WYnbhGrtndXVsTsc25qmYw/BA4P4KlPw9Y2HB/DnePG\nuCyvNRz55AZsKHujpNGttqFXaHRL12ks07cDb4NrB8AngD9uTubgCD510rR7G3hyCzZ2m4w9xx15\n3rfz0CQntX2+xaiV6jX80EUajunCFYqtahv9TsrOay5TPUcpmIhSsWQv4/TZn/RbYe2uesJnFkgC\nXVG4Jefwz5zMPKHgk/9CR4D6TFU/cvc9ARHdca8kEol49lcur3I+ar/Sue56aKE2gL0Ktw4agvsI\nnYD9SdrZ6B+j0Tk9TeOyP0MXnPxdGnb794CvaE/mo8CvAT8HvNS49C+31+ImUNopn7Y24Im7nXX5\nEt1MUUfhWda1C9M37bt9+1xVTPcYzfBDZznq+rr+VNfTCdBlT9C59vqN/XO3YmPc+6oVSdPCoo9/\nFpJAp4i++N8kmGYs1W/ecX9EWS9ePeQkp5JJd1fljkLnlvtSHtpGMyY5AbvESQR6i26xNZGQrzsk\nF14Tb4h87tGFHz6DNqO9DXwm8KdpLFBleJ6nIdQvbg/yecAXPQkP78DGUTNt01Nw+PGu34pvnjyA\nzZ2u33LRtQ69Fo17aNdG1rcsaYU/dG0UChHcWtSgJbLT5CwS2gvK3nsiyN13J0gfFP2/IMsYhhXH\nXwYkga4wRIJerufVLH31zweMWqMuwfEEh8+7KYtKlpLrQQWRiUgSOuG7CEDbbNKRttb+UU5oi9Hy\nzQ0aA/Ma8NwebL6ZRp702TQEqvrNhzRE+qeAL70GR/vwaoXf+3RjRn6MxuQssF+7SUXUn3sncPs1\nOK7dNZHlrPilJ30kVRIZ+goAvqSIyjIV0tB6Va4D3bBnXWsNSFt05OkuuluhPiiO80xc4jY0pAWa\nuBSm8SfuE0z3JWdg1AKVy+0JDI9XigyuMZpI8vgbjFbhyOrcplvwTTe+iFsZdydKbSPL7pjOIm2L\njV5XAFwDNm8AbwM+n4aJ3gh8Ad1U9beAz9iGrT8H3IEXf6Mhzjs0gcdPAffg1uNNw2W/UwTs0MRF\nlX3H+ubJHVmIul5OqioEeGTfaWYqEaTIU7/BNqMTMYs8XR7kFqiHZTRIql9xQIv6X3fvh4SlJNBS\nylat9Wjc9/NGKeWrgR+i+Z1/tNb6dxfcpcHCpUeeONKzTzThlorilyf2uScf1IZXwhwwatWKSDxm\n51VFKs+UhNMtNrm+ImmtaXRCE+vcpDEi3wA8sQVb12DjHhzV1lKVwl2st0Vjcb7p7cCXtRu8D/iP\ngC+Et/1jeOIXmp0++BB+oz3ANeAe3P5E01Zpp2w6ugdHB6N6VVl8ut4if103DTIiUF2PmHyD0RCH\niM8tVZVd6jj6Dkavo1cdOfS7+LGj5ClxOZxlgb6/lPLf11r/1dx6MwallE3g7wN/iSZX+mullPfU\nWj+42J51GFL8M7pjIjC/6TzT7llb1yDKXTygIbI9a8td+2PbNmbmnTiVmdeEIZp4QyQMnRuvRIws\nT69Tf+4aTfyywM4fwVN37UTv0Wg9P49ulTk+H/jvaEzQXwW+EngONt4BT/8U8P/B/j+EP3WvaeMu\n8AoULTb/TNPO1ofgDb/bXFcdMi5B4oOTrGspFxTvlMuvWegFH3hcoaDXXgYa1RRRHqa+qS0fKPvW\npXLJU+LiOItA/wj4l6WUdwN/q9b66Tn1qQ9fAny01voxgFLKTwFfBwyGQIeI6LbJTVN8UWJsEZq7\nG7ohY3mox9V8UhAnUN8uzq6kRdo26aZh03G9AkrHV7moqiufLDQJore2G7/RDn6Pjpmv0RAf0Dje\nt2n8+8+zs9kBvrF5ubcDf6Zt70Xgt+jW5fis9lifhN1duPWosaLv09Wva6DxhJKOoMoiLSsiuZIG\nDRGXLyjnk7R41tyvrwxtGCVOJ1vPwEdZk0vG1ObQCHSIIQXHWAKttf7lUsp/Cfwg8KFSyjtrrT82\nv66N4DkaQhc+DnzpgvoyU1zVAu0Tz8tSlK7c1x3yJMNm2EckGScKcb2oJDXQWVwwGvvTftJMPrD2\nPEt8g9GMv9rUekeaJYkDmnilfP0n6GYsVscqTTLpDZ9JEwi9N+aK7QJvhps34C0vN5v+Lo02Sieo\nOvpXoBS40bLbjX3YOm6sSYU/tCCdYpXSaoogNWeoVx95Eu6Y0bCJz1blDxGLrqGHXmDUeiV8pv1c\nO+rvXZaWOBtnJpFqrf+klPJzwP8I/INSyrcCP8Cozlfb/vOZ9LBt/iIbeae8ZnhZMM0MaJ/7LvLU\nkri68bSNL50rV9Rn/JF7LQsy1si7C6qbWe6iSOaRtSdLS/27bs/X2m08Q30CvFLh2h/AxkvNF9t7\nsPEs8Dk0FufTNGx7k4Zkn30JHnsrPX9Zw38MR0/Dxh/BW59oauX/5OXmYrxMI7z/QCNvOj5qSHT3\nGmw+Bm+8D9cOmwqpg3bzl+gWplPYA06rFHSdXFwv8oyaToVZ3GJXwk1aTY99Sj3gCcRNRq38PmRc\ntPsNLoJzs/C11vvA3y6l3AX+DvDn+zZjtnz1CRoVn/A8jRU6gp34wZJh2gQqF04Zba0ppIXPYFTs\nLUG2u+hb9n3UcOpG1fHcBdR7nZPP7+EWryzha3Su7eM01qj6rtDAAY0heHAMd19rSPnJu/C5n4bd\nOzQu+FN0sc9PAk/eh8c+TBMDHYcKR0fNgXkL3LwFf/r/hT9o2/ko8CK8cNRUjJYKz92Bx3ZhYxNu\nbsHNYzg5aCZgFg7brogAdc2v05GhQhzSlDqBynJ1hYPCHu6Su7bTE33x/+QzOblCIzGKaHydlUk/\nl0BLKZ8N/Ajwl4EfBb6f0dj3PPDrwOeWUj6LptjuG4FvnnMflg5OepoBSG68stu0z/5HOAn7eiLD\n2/abVfv5cZVJj7HVk7C9CN6tTZ+6TckWZbWVhHmxbeP2Cbz5D2FTO96niZE+ReP3n/wibPyfNGP/\nm8NV+gjwo7DxO82+v/9+2Cjw72hCA5s0EoCNJpL6ifbYLwOf2c4herPARjuH6O0DuFubXeSCu25T\nxOYFDrqWGnR8spCY1IuZe0HWvA+aMT7qOltFJrz6bIgYugV8loxpF3gX8N00UaEvr7X+8rw65qi1\nHpVS/jrwL2h+7x8bUgZ+iOjL4ro4XqhhH428Cv/BaPJBmkXXJroe0S1XGJ3EQu68LFPvl6xfWanq\ng7wKEdAtuhjpG2k47pkN2LxFQ5y/3Tak9T7e9OVQ/haN/fe/A19EI2kSM/638PDfNObl7wMfAl6u\njan7FpqV5W4CH4Td93eTfbxGk4m/DdyscPuwkVdpKWads2KeGgTcytS2uqZ9E334oOQFCH79NDXe\nNdvPB7s414HLpaR4UCLQ9aXY55Ni6Emgq+IsC/R3aCJK3wv8cK11oXHlWuvP0VQqJy4BTyrI7fNl\nHHSj+4/rM6zrOyc+ZZLjzD+uMZUCCEbXeD9iNE6nbX3WIrmiXnGkm3yHhqh2aWZP2rsG5WkaJt2g\nM00/SmOFPnoV9u4Dn6bRgG7RCaf+L7j/a3DnUUO+n6Ah0H0aAj2hW8rzaXh8G64fNl8f0EQIXmtb\nfAONNbpBVxSgtZpkWZ+0712rqZ7oeupay03XgCbC1DWVuN9DMx6WObJ2jhk9pgvr4yDb59ZHUk10\nOItAfwv4jlrrJ+bVmcTsIctH1qCLwWHUInR9oOREnrA4sAeMiry1TIXie9ARhtx0Sap2bR8nCNc5\nigDu01ihuzSxSDboVpi7RlPP/ke0axwDn/5t+OL/Cj6zwFaB8otw/CmotVmB7hW6rP5HaEj0Jbp5\nRXWyd5ulPt502IU8ZLF5hl0Ws6RLr9FNrHzc9t/jXz4vayQ7lYF6EYQXMujaaclnXyxun26l0Uik\n/ltHz6SPQCeNkw7d/Z4GzpIxfcM8O5K4GpxsoF8U7XXU2kaxRbWhLLtuNBfFq2zS95U1FuOlHsM8\noZuWUxU2gkIFKnO8TVuWGfqndc9PaMKacsBv3oMnX6KZeemw/fAVGoNzr33+beBWhcMK9z7epfv3\n6ORPLwF/QkOkv0u3ILzM3lehHjfHvkcXQ3bVgqw5fSYrXhOHuAbUfx+XLonsoLP8dB29Nl/kqaSg\npv1T2MC9DJdFHYZjxXJOJ9VFS5kWffyLIGvhlxxnSR9OwmtlcZ1kD8N7PSt5A6P6Q7dGNGWd9ju2\n1z5Tk2fcYwmhx/Fu00xH9xQNMShmqIfI84iGxF6lSeZsfxoe+z1eLxE6fABHG3BNnruYRFVKCqZq\n7rs/ptN6fhxO7rTW9G26OMUjOD5umrnVPkSMfh3lklderwh9fVDy+TudSEVyIjhdO0nNlPSRqy5p\nmROovAN5BCJyn+/VK8YigZ+HSQh1rS3QxPBxET2fW5DiAnm+bolgz9thX+y930R+8xf7XvFKhQHi\njeSyG8H1n7JW79O5wCIgLWKnuOE+8MIJXPtEM43dyUG7xHCcjfmYhvX+fZqApazOV2lYToLUfbhf\nYftOU5z0eh3mI9jdgN3j0VLIXUZn9ffBRtd6y5rXTEz3rWmvSJJwvtBZmXLTrzNKnnqtpFC0YqN2\n1OPdTqqCD2rqwzqQ4FWQBLrCcIJTIsez434TRZmSk2ex7dyqPbbvdTy5qbHSSG36e++nbtYjusmR\nZWWKoH3qO5EYNNnwPz5uyG0buL0Dm19AoxaWubpBY76+uX3ep2HnT9EQ6lPtwT4Fuy/DnQrl062u\ns2WpjT14/Age1YbURZjSdWom+f32kMq+y8LesWuoa+YJn0d0STWdr8jzBp36QKSphJ5XNPmM9r6E\niEug+gbXZXCXh4gk0CVGHxlFuPXpGXjFupwoobuxXEzsN1tflYqvfa5jep22u/Ce8fX6ed34d2wf\nX21ShKH46gkdIR3SeOqbNKHQrSdp5gN9lobJPk23fOir7UX4fZo06d1229u8Xk+6XZoZnu4eAy/B\n7k1en0JqpzQLzykconjkSXuI/fY87tJJlHwgkTuumaZEiLI+5b6LcH1CZl0DXfsYS1VIRTpZie7l\nBbiSQtf4Mgmiy1ik62K5JoGuIFzPJ7f6LBG217p7eaCLvZX8iZlxQSTqAm7oCFMuaBR3+/K9d9vv\nH4Xt1LZKQUWgSlrJun6d9A/o3PKb7Y4vtJ/9Sdv536BJFqnk6W57oFc6cj4BHlTYugub7Qh0/6SJ\nu77S7nbbrqsGBcVGpfmE0zM2FXvt12rHnr1ySOesQdBX+BRioYHHp12sD6N9jgPxOMmSwgSJDkmg\nU4Ju6KEgus/6LFoG/gfwm0zkpO0ro6WyqpbxumFZSxuMWprevovBfdVKkeO99nNlnLfo1lZyrehN\nuoTKEd3aRK/SrFm08ZG2ocfag73Qvn+WjuGuw8lduH8Ptv8d7G3C8SE8PGn6+oBOaL7zsJOHvkjz\nWmWaildeo4vZKpET9ZsxaSSPwIsGXE8r4lQ8U265W5/63Y4ZtUJFhC6c93i3zy/ah6tYkWmBJgaN\n89x3Jz6PfUFn1bn0xt05lyO56NoHCGWWPd7ptfAxc1/D4zi81/6yrHTDS/5T7HNl7J8rTeLo+Ahu\nnjTG5R3gpUN4+o/bBm/QMKtmnZe8aRd4Csp9uHsCr57A9uHoLFWaVUmzxSu+69pZueC6bnKb1U8R\nIXQE+IDOUlTCTQOUrrkng0SMChG4W65BS4PYsX3vMextaxdr23/TvgHWcVHrc13IE5JAB4NZTeoQ\nictvqljvLniJZcyi+0QUMUOPPbuLCKPxTk9IufW6ac+uSdzjtAt8G7hxncaiPGpq4Q9qO3lShWsP\n4dangZfh5B7sHzbkdbtCeZLXTbtjGqv1hbbdW3SyIMmSFGbwhIxin9KsqsRT9e9ekaV4rsTt9+lK\nPD3covNTGEC/iYhbZa5Kqm3bs1cL+e8hIve4p4jXydP3uSqSQBNzx2UJ9CLbq5LlJDxkOW3Z87j9\nZanoeLrxXBCvGxJGJ7/Qd55McrkNdEmVLbrqJVnHlU7Gowz0fvv6LvDkMWy1TLW1BeWwI/1jmccb\ncHjYuNbHNJMhbz5sGji8A5+ojVF6n44QFf7YoZtF/gGNEauKLIVWlfTZb7cRNMOUEkwqZX1AR56y\nJnVNfSVQzTXg+tCYlIoKh5gQdLh0zBNRMGp5rhP5TQNJoEuIi2TfBd0cLqT2m0xWiFuVniBy2U3M\nhLtle8DosaBzGRVHPLLvRbpequjSTVl8IjKRsmJ8FdjZh+c/BmUTXm5J8h4dGdVHUEpXi/7mDShP\nAPtw725Ty66kvObtfEg3KYcsYSmeXqYhP9XoezJLhLjf9lEieGXn79MVBPh22l9Wpldg6XsljeLS\nJ1E9MY48YTQhiL3us1qFSXSgZ/VhFZEEOkX0JW5mgctaqx77jASq9tSmYn0uffLPvQQwJjE84++W\nZ9SL6qb0GmxZaorPwujsRd7+CV2y6e5Bs/2r7eM+DeG+CJSTblXLm0B5I3AL6r2mIOmF9jjX6AYB\nd9WlSVVy6z6jA8EjGmIVSUo6pPOU1Ok1uhCsx3R1/p4Zj/pMrRvlK6Dq91BcuO9/10d8Hn8+Dq/j\n4Je4GJJAlwyXJWjdSMfhtSpiItxlFIHK+vR4mlzBmKCSiy4rVsQUZTsiRJHPHqMJDu+HZjfyuN4e\njRuvhbq03pD0plqrqNDFNDUd1CuPGrI9pIl5PtEeTySpkvrD9hj6THHPx6zNY7oclchR8VoRqK+Z\nJItc2k+djw+KyuoX28dnzNJN62TrWs8+y9Q9Cl8+xAdVd+nh8tbnOiIJdMlwUevTrRrsdaxI8RtP\n2/iND6enVNONKxL0qdK0jdqJ09d5/M51o5VRS8qtL4+ZSnt5m07CKeJUEuhau/0rdHKjLWDnbjcN\n3V0aorvd7uOJlU26RM+rNBIpX9zuDe2xRboiWYUWXM+5wWlLc8e+90Ra/G2dhKPo3Uk1uvW6jpFc\nK6dLO88i3sT5SAJdIlzWdXeLM1p3XtbpkiXF4g7CPjq+J4TcpZabDd2NL+sRRqU+akNxzziTlPqs\nG1suLHRrOt2mqb68TudKb9OQm9arV1XTAY2lqoz6y3STIcekmAhZ8cpXrZ2bjC5jrNjoK3Tlkx4n\nVjzT5U4aNK7TJaEOGR18BIU2dumI1F1vxUyx576lInzAlAwrWqHRhU9X/mJIAp0iZj1qX8Z992yr\n4GQnCwRGrVW51PpuXHGAWy9RH+iWTp92UCQkK6yE/ZRY0QTBSqq4+3uD0Wy9pulTpdKxPYvMX6ax\nGDUF6DYNOV63423SkKZI2wXrXr8uC/clGhK9325znS7pIwvz0No/oZu6T+esPjo0qO20bbqlCh2B\n6nXfICREPWkM0USXPa3PiyMJdEURCVQkoJt1g+Ym92V3PVPvGdiN8FB7Ucep47pLH2OkPv+nXqtd\n3djSUCqeKlJUfbif4wMa6/Jluuqha4wSoC9N4rFgncuB9edO+7jbPpS88ZVMJUNSSaeSR2rTVQW6\nNm51q0xTySRNCnIS9lPMVddRCgQPZ6gN/x3h9AQv+l19yrwouj9PCpU4jSTQKaPP8psGJnXf3b2O\nE4lAJ+R2wlR80yVLTmpOjOPO160YxSil95SuU0Tj1pPKO72k1Cfb8BmZRADKgCuZIxnTibV1w9qU\n9SvLU6R0QkOKd+hE8dCQpyxeDRASxHvJpBJmTph7dATpVV8uUxI5Kta5R1fKumvt6Tix0kjH9iy7\noO18BQKXR/l+cHXrcxLp0zIjCXTKkPs5BDi5uevuOGZ0ol+/yWUNubg9lm2K2Lx+3pMjXhPv81iK\nCF0OpT7L8hRRetWNBgIv+VT/79FlwjX50mPtMRW/9MXyRIYqrdQcJJIcyQ2/RrfU8hYdOfu0cZIU\niUQVV/UYr+PQHj4BiFuR1+ksbxhVNRzYe8Fj0tHj0O8RF7Dz7SEJ9LJIAl1xRDfaXWtVwRzSVfrI\n2tFDhOPWp9r1RI8sVVmr1dqXZEpzW/p6SZ5lpn3W4nNRHwmnXVDNlSlZkdzvfbrJRpQ88sy34odS\nBog87zHququvmthJulJZy5VucuS4MNyJbeMPyZq0jpIy/vuhXbdAFUbwjLpfm/i7uuveZ4HGeUKx\n58TFkQS6BvAYWoTHNeWm+7LEblXKyhKJ9WlE9TimufmVOdbCZ7JAt6w9l/joOLLiYuJM4novndyg\nIdHH6WYiknV2xKh4vdCQpCRKr9oxTsJ2np2XhShSUlJoj9F5Nz1Zs8toPLnadyd2PMVUnZihs9Rj\noYPHWL1SLLru3h+fzUkE7oUSicmQBLoGcBmS3DbXdOoG9cl7RWo1tCP3WDef9oGORBV7VAJHwnC3\nZiXxkYsMXdLE6+y9H+6C3mn31zIglYZEn2y3f5XTaw5t0c0W/wpdTNgnEdmimyDExeeagV5JHUHn\nJEvaLX0lxGDUOnRXX5agP+taaqVNEaP21W+lEEasLHLE6+YrssYE3zq53tNCEuiSYJI/t8djdSO5\nq6wbxy1PJzjoLDm/wXUTulsdM9yeANoM7bpF5paex0jdfVdfdRwljF6h04RqpU5pO9u5kV+3dnX+\nSjSpcqi0bWhAUU284q9Htp/mXHahvBJu0VrWtXIL3y13j1c6vAz0IV1CTIkol4apj/qtTmx/h6sr\nfECZZvJoFtD5DRlJoGsCT/p4IkiImXh/Hd3AGOOTtSly9D9VzOQr/uiyHhHSNU5PyuyQe71PY2Fq\ngHiKjjxlIaqPbhUrYaNZkfbprF0Xosuqk2uuPotwd+my8rq22DV1Paviy9XaFFxSppCGD3Bu7ftc\nBNouxj81GMVYt+tsY7zU+z4tuGJg1ZEEOhDoZp91u7oB/SbSdk6KMDpZRczWRimUtJoin75+uHRG\nmXXtL6tPFqBifK4v1UTysijv0cl+DmgIWPtrNnkXnEs3qglCtOy7y7w0m5OOp+sni/CEbpo7Hc8r\nj3T+LlJXbFPXLhKMZFpy+X07GPUWdB4KL+i3cTiR9g1E2m+IVueyIQl0BpgVGV4V6pcnNHSze7JI\nN3ic4MITF9rGpTIHYRuPtUFHQIqLKtEiotO2unYiWhGYJz326AhHa75Jr+kxQ1mPOtd7dJIlQTFO\nEabOV8TqazLpfCVxioJ5WcCxCqtvMhDB23CrXqtyamDSNT60bX3CF29PcjBHDLP4+Q8VQ5dFJYHO\nAEP6wT3WqPceE1NMU2SgeN6xbe+6UN20TmgxYaIb3ONu2l7kEInHlwZxzacE5QeMajNl+e3RuPCP\n0WXvVe99Yu14pt8rfDR7k0IDD9vPPdbpAvxN+zyGKnyWJVmibtk7eXl/sGsPXSz4Bl0tvMICIpQ4\nV4FP+KJz1u/QJ5b394nJkQS6BnACdTjxuQXqEqbonirzLpmRy2GknfR4p47jxK1jyp3Xze+JF7Uj\nN1nyJS9dFMFKAyot5wPbxit7XIIkN9zVCCJcuceyjKu937H9se1FSErIYe267tLjkFFh4OS6257X\ndWtP56+QRLy2xR5H9nlfzFNIEr0akkBXHCIIwW9gueKeLRZZ9smPdLPL5ZcV5PIokYG7vTqutotu\nmdx51aNDR6D36WRKIk8v81Qs1ElbmfVDey1NpuRBN+jKNT3MIAtYfdbg4rX7Phv/sT3iPtCpFbyE\nU+fvx3TImvX6f9fLOjF6/z0b72EElzmlZGm6SAKdEcZZffOEE5gjJjPcnReBepJHsT0RYLRGIwFp\nOyduF+u7EFxErAy576PjKsN/zKilLEv1VRoyjGWiIjpluKEbEBRfvM+oGF2VWT4r1K49vCJLMVMn\nMRF7tEK9nPPIvnNXH7rr7om7KD9yS17E6ImmGDI5CQ+PeQ49Wz4uKTkUJIEuCSYh47P20U0mbNrj\nyPvzauYAABg1SURBVJ41gYYToiy9WAnjJOBxU+hIxOOsm9aWYrF+LE30IeLy8/HyUq9Zv0kn+9Gx\n5dIX+1wWpMupNJ2dz5kZ9ayuq3U5kchU1qoPMmofe+0DlaxFJzPV8rtQ3heV8xim62o98+8lowq1\nCBkDnQ6SQFcUF1EB+MgeSzYF1bLHm97F734De1xTbelP5prQPnmNW8Lqk4hFSRuRtVx8HXvP9vW4\nprSXlc7qVOWQYraF0aSQCMrDD8fWprY5tnZ0DF0fn4YORsnRr6WugSxfnYPLtXTej+h0oR7CcC9C\nA6Mn03y2Kbd2k0CvjiTQNYduuHF18n4jy7WUFSYCFYkS2hKBuuV5bJ8JMcHkMh23fL2SSp/JEnVL\nTlDCReu6a1YmxRQ9ORQtVJG3SPKI0yWuJ2Eb17PKKhaxucUdBxEdS+0qlFIZLTrQkiHRevQKJRFt\ntEC9hFTXNgn06kgCXXO45aisum5wn4BCxOWT/SrW527xoW2j9t2qdeKE0ZvbrSPto7YO7L3PT6q1\n3EV+akNZ+wd0lp0sT4nt/c/fJ2CX3lNEs09HooIsbo8huxTKiUrx1LNi0+q72nZZmROx4Jalfq9I\noJ5EUl9njaHrN6eFJNAVxUViprohdWPJ/XW9pm5IwWOGHhd08baXE3pixWN3nkWOkwuL3JT5lsUY\n+7BNJ1GCLrGjhJRW03SrVMsh71l/nThVuaRp5rR+O22fJCuKs9z7+ei9NKxRY+uyKQ1ecRCRLtbD\nHHHwiW57jHfGTP06ENq8kQS6JJjFn1/kIeJQbPGQLiYnq1SxTJEujGpEBRGyl2xCZwH11dL7xMAu\nVI9T34nofC0kkYgqdWQxywrzslQnQqw96DL9Ktm8TzdpiSxLaT+1hr273H1JMJG/SFDb6zpjz25F\nOuFrP11jb8un7POiCF1TJ04fuJYNPsgNDUmgawyRkv6cfuOKPD0R5DIYERj27KWhUSzuZBmzw5t2\njA064vRnEeSRtacYp5d7xpiftu87Z1cPiAgfMVruqYFF1m2M3yrj7dVPPiGKElR71kbMhqudSKDa\nv9p7TwD5YHQcHn6O8XdKTA9JoDOCJ1sWgYvqUH0blzZ5Rl4utSxTkamL6GMm2CVNOoZniJ2gXECv\nGKfKGZU1d9fX445e2aRjRuG4iFIkqwRPXG7DM+qyDDetLR1blqb28dijrlkMR+h6btPFZfVdHKi8\nsqhPDuYJISddny3LXfhFEGjGQBNrAY/HycKRtRiz0j47kuDWlFtHPoAoROAZbMJ+IgzCsXwNI0/u\neIWPiGnD2ovC8vhaMignJp+CztUDcSCKiR7XcGqQUMJJk0W7tEqxUCWaJLXSNevTj3qVkVvMbnHH\nOQo8KTdUF/giWHRByllIAl0iuKRnmoik1pew8Yy7bmDvj2sn3R13KZNLmGTFYvvH7LDXdmN99Ey7\n+qYsexTcu6Wq48j191hqlPkodOAuu8uo/JwjUXk4QHFJv9FU4+/nrXNR8s7jwroW0X1X2x5CcJfe\nsQ7W4CKQBDogTJMgLxtC8ON6wkGupkgguuxejhitQbfgZIFpcmF971lyHU8E4kTpMT8RnutFXeTu\nlT3+mVumhdEZoHxbvymUCML61Beq8GNAR6Bat0mSqz26sMSJbafQiBJMGhQiMbtkSuGEqAONVue0\nZEtDTuYsCkmgM8RF45CXaW9eEMlIi6j4Xoy7OUHGqiQYtUZjrM+tVB88ov7UXXeX7bjF6MkY7XsU\ntovXL/Y1hit8iRG1u8+oexytW5cOuduuzP0GnbxJpLgRto0k5TFNLzY4sGe/Nt7GNDWfi3SlhxpT\nTQKdIaZNoPM8vltsfeWRIjkRjiROUWjvrr7if1FM7vIekbBP26bEiqwur3SK2tMo5/HacUGxWMFv\nTo+/aiVRESh0Vh92HbwCysnroW2nCZ+9rj7Kmzzp5eTsus4+t/3EvncLdB6C+XkhCTQxd1xVCSCy\nlIsuwlTbsk5dJC7SjQkYF47DKPHKjfYwgshJx9ZnnlxxUb/3yWvGRXAeWogCdbUtSHrkM8JLruRa\nWS+tjLKhPjUCdOJ/vY9LIntSyMnRE1w+2UnMuM+aPIdKZItCEujAcJ7V6EL2efQFTusW5d56Usit\nQBglNZFwTIp4dVKMr4mwdLxoJToBitRiKWMkfe3r19etQJdsyVL2eUa9akgkpmviMUo/D2XYFUt1\ny7rSLVanPov4IzlGYvVseyTPVYxTDjUTnwQ6QwxhpJ7Ejfd9RAgiUbesfLo1JT1oX2uZEO3j1mLs\nj8hVJNkXz/OMvsg3Tuoh+dAjey+5kocLImn63J2u29T594n/YwVVHBxcAubhB/VR57ZPVy760F67\n9RknNXGXPVr2sS+J2SIJdAlxGVK8LIHGmxE6ElAMU9uJnKCz1DzhVMI+40i02OcuEFfljs5B7atd\nWa0iF59Ew2VOis16Lbr3TW16aarisLJuH9Gt5ulk6OeHtRfhGXS1p2eFHLQmk8c9Pbt+EYtznPUZ\nwxZ9v/NF4CGVeWOI4YMk0IFhiJl7WYAxxubuuUhK5OSrXnq8EkZd8OiOy112l9+PHyt9PP4Ya+xl\nJSuWqYdPH9c3D6r6cGDtaDlk/8wta52nE6iHM7z+3idtkcWsh4hTBBvlSU58fWTZ93ufZfUvk7u/\nSPIehyTQGSMmR6bV5mXioBeNm55llfgxVdJ5ZJ/HhI6HANwlhlGLNGak/XPvi9zwcXpV7aeM/Qad\npnSHbnG6XeufE6b2dwJW2EJxVZGd4qsuzdKzl4fqZpd17hpPTwjJuvUY57iSzD7CO+t36yNPQddz\nmUh0aEgCXVJc1lKNVTTxxrmIpepE7DetSNL1j/rcSyadgN2S9CWG1bcoc4ruuye2NN2dSF0SHxHX\nDqOWobL/6qP64ZpOz/gruSOy69ONxiy/k72fu8ISHhZQaCDqOt36rOEBF/vNhpp8WRUkgQ4QFyHH\nSSRKfsNN6gq5BeWxyLMsV5GbjukE4xIj6IhOJOeCfE9K6bO+CUGcnL1NkY8s1ZPwmcdfdf2dWH3A\niaWqUbIVS1BjvNLlVjGuGo95lvV5FlaRPIcWB00CTVwaItFY3eOTIh/TCdBFTu7eR4sURt15Jygn\ne7fCfO5QwTPujxjVZaoPffHLPp2qn5tXKPUNXK6LxdpXX+KkK5I3yY33EtEY9xxa3C/RYTAEWkr5\nfuBraf5Xvwf8tVrrnfa7dwHfRvNf+o5a688vrKNzwEXd81nEVy8KWWkeN3TpD+1nIpxIWLIeZcli\n2437U8bscxTT+0MEJEmTu9tOpHov6zOGNXReUW2g/sQyy7OsRLdCPQbqcc+YZZ81eWb882ootQ7D\nIC6lfBXwi7XWk1LK9wHUWt9ZSnk78BPAfwg8B/wC8LZa60nYv16fd6cviEmE7xclxr6qmnmjL94X\nK5RiZZL0l6rM8Sy5SikjWcWKH03QIXdfsc4DuiU5HtJZhjuMTubhYn9VBLlYH3svki1hPxfuRws8\nDio+sGhfxULjJNAe+7wKzvt/XJagL9OnWZDzNK7JZfEAqLX22jSDsUBrre+1t78CfEP7+uuAn6y1\nHgIfK6V8FPgS4N/MuYtzxUWt0CEMf17yGeN1fQSqh08GIrgrLIKNcS/d9DqOyM71pC64d7c/loNi\nn+m4PuB5CabHaT1O6W66T2w8jkDUb6+eijM9xfDIpHArOmIZrc+hSZkGQ6AB3wb8ZPv6zYyS5cdp\nLNFEi2lrRyeF3HEnPBGTu9Au6XFyk1Um61DZ9SjF8biql5M6AWHHVHZe+3qSR7HOPovPE1gwSv4b\n1qaXeMY1iQhteB9idVGsvpoW1F4Jnw1h8F12zJVASynvBZ7t+ep7aq0/227zvcBBrfUnzmiq97d3\n8fa4ipBVhAvMFw2/MWNMVK91M3tCR26t6sV92RBPOLlLKuKKelBV8ni1UrTA+mRdTsowSsQuunfC\njOWdrhP1eG28RjHTHgeSaWOaFu2qw/8D52GuBFpr/aqzvi+lfCvwNcBX2sefAJ63929pPzuFnb4P\nlxSTlGAObcCIRCAi07l5FZO72FpO2eccldWq2KiIR59vMDpBsluVal/Xx7Plnthxq9mnwXOr06fb\ni1VEXk3ksdq+MIXHc4UhuabrjGh8HY3bkGElkb4a+AHgL9RaX7LPlUT6Erok0ufU0PFVSyLB5ZND\nQ0gonYUYq4RRN1txxs2ez7bss5iQEglt22ee/PHvY5vujnsIwCcMUT8lY1JYwufl1GJ0vp+OG0sv\nxwnjh47LEPwsz2veA81SJJGAH6ExIt9bSgH45Vrrt9daP1BK+WngAzT/y2+P5JlooD/tEFz5Psht\ndpF5jPvJShVh+XRusjz9T+suryeRInlBR74iUU9uuVY0uucKObggXxn0cXNyOkl6X5xM80+8/BiM\nBXpVrKIFCpNZlEOJh14UXs3j5OlSJ3+IQPuy1f46XoM4eYjacslSlBO5JelJJ4/d6jlan+6eO4ku\nY/b7slZfWqCJpcWQkkoXgWeI1XfFKV3g3ldBNC6eCP2Dj5O0L35Hz3FkhcaKJI/XwiiRekY9Esiy\nxjgnIcLVMMvORxLojLEoEls2EnW9oltreq8Z8F2g7y6yE1+0Zj1cgH1+wOnrE5M646zcWLEUSy99\nn2Unk8tazMt+vpdBEugKI7qeQ4eIKLrK0Fl2Toxw2p2GURG93mtbwmd9s0v19ckRY5qxwugs97WP\njM4Suff1eZ6/5SThhiTQxEohkkCsSR8aovBbpOTlonF7J1svtZzk2DB6XaK12Rfb9Nd9sqWzcFHX\n3pUF8/AuljXkME8kga4hxt3QQyLWKMiXvtNd/L5t9b70bHcRnFf2eFYSaJ4JIh8sZvFbTUqe8zj/\nIU1plwQ6YyyD6yyc9+dflFA/WnnnXdM+F1qEMO4c3IU/jzyGZJnp2kzztxnS+Q0dSaCJC8MnMobF\nDA59McmL7ndRq+UsC3OoiDNFTYKrWtDzsr6H9DskgSYuDbfUFkmmF8V51mWcZGNZEZNwl913GfWp\ni0YSaOJKiIkNWHz8VLhoqeQyk2YfRKQX+T2mRZyrdg0viiTQGWIoRDIv+I24yIlN0ppqME+XOgk0\nkZgizkvazPq4iflhXckTkkATM8Y0khsXQU7OsRisu6WfBDpgDDkxcxlcJblxkbbX/SZeFHLASgKd\nKdYtBnoeXIJ01YRTEudisc5xT0cS6AyRBDoekfwuap1mjHPxSPLskASaGAT6BPJDKtmbNs6znoca\nvkmrfxRJoInBYtXI8zLT2zlR+Qz+i0SS52kkgc4IV7UghnDDJK6OacwJ6ku1LOJ/kS77eCSBJhIz\nwCxIp2+qvVliiBbn0PqUBJpITAGLqPqZVZx0aCQ1ZCSBJhKXwLgF7BaBuBrpVSRh/jxkDK2PSaAz\nwirEMM9b7XIVzvE8LAO5LEMfVxVJoIkRXORmjNsMJUt8GazbDE2rgCFqgJNAEyOYdAnbZSDTjO0l\npo0k0IFCspV5YVrkcpHs87xE4kmYq4OhegRJoGuORWj8xhFbHDAuM4BkHHC1MdTfNQl0wJilFTpE\ncXTsz9D6l1gchvpfGGrJ7VJjWqQ3qz9Nzp2ZSEwHaYHOAEMdlTImmFhGDHmwTwIdOE64WmZ7iK56\nIrEqGKqxtNSYtqU3CQlqwuEkz8SyY8ieU1qgM8AsSKuvEmjcdkmaicR8kAS6RIhSHXcfhjxKJxKT\nYuj/6yTQJcbQ/1yJxKojY6AzQrrRicTVMfT7KAk0kUgMEkMnT0gCnRnSvU4kroZluIcyBjpDnJAj\n1Dqib9q1iy7bnGgwxKnr+pAEOkMsgwuSuDiuoqvtW7YZYHPy7iwN4nmfd87LQp6QBDpzpBW6OEzi\nAs570ItkIY3vsv5ndM3Puo465z4987IZHUmgM8ay/SGWDfH6LkPc7CzofJxY+8h0kZNW+zW/yvVe\nhXsjCXQOmPfkyKsK3XDLTpKXxWXOd9qWa1a2nY0k0DlAbnyS6GRYppjYorFug8uikQQ6J5ywHgmD\naeAicbREYghIAp0jMqHUD3cTkzQTy4Qk0DlCU8ytA4meR4TpaiZWAUmgc4b0gKsYE61k0iGxXkgC\nXRBWLbGUiZ7EOiIJdIGQG7tsZX6Z5EkkGiSBDgBy64dIpB6rTMJMJEaRBDogeHwUZu/e9xFiJncS\niYsjCXSAiCR2mVhpxiITifkhCXQJkFZhIjFMDC3kRinlb5ZSTkopT9hn7yqlfKSU8qFSyn+2yP4l\nEomEMCgLtJTyPPBVwB/YZ28HvhF4O/Ac8AullLfVWtMwSyQSC8XQLND/Ffjb4bOvA36y1npYa/0Y\n8FHgS+bdsUQikYgYDIGWUr4O+Hit9f3hqzcDH7f3H6exRBOJRGKhmKsLX0p5L/Bsz1ffC7wL8Pjm\nWYnnXknigb3eJGc/SiQSl8cxF1ezzJVAa61f1fd5KeXPAG8FfquUAvAW4N+WUr4U+ATwvG3+lvaz\nU9iZam8TicQ6IhpfR2dsW2odXn1JKeX3gS+utb7cJpF+gibu+RzwC8Dn1NDxUkq9Pv+uJhKJFccD\noNba6xEPKgtveJ0ca60fKKX8NPABmsHg2yN5JhKJxCIwSAt0EqQFmkgkZoGzLNDBZOETiURi2ZAE\nmkgkEhMiCTSRSCQmRBJoIpFITIgk0EQikZgQSaCJRCIxIZJAE4lEYkIkgbZY15nc87zXC3ne00US\naIv8Y60X8rzXC0mgiUQiMTAkgSYSicSEWKla+EX3IZFIrCbG1cKvDIEmEonEvJEufCKRSEyIJNBE\nIpGYEEmgrN9a9KWU7y+lfLCU8lullH9WSrlt363seQOUUr66PbePlFK+e9H9mRVKKc+XUv7vUsrv\nlFJ+u5TyHe3nT5RS3ltK+XAp5edLKY8vuq+zQClls5TyvlLKz7bvZ3Lea0+gF1iL/quBf1BKWaVr\n9fPAF9Ra/yzwYZoF/Vb+vEspm8Dfpzm3twPfXEr5/MX2amY4BP5GrfULgD8H/A/tub4TeG+t9W3A\nL7bvVxHfSbOKhZI8Mznvlbk5roC1W4u+1vreWutJ+/ZXaBbqgxU/b5pz+Wit9WO11kPgp2jOeeVQ\na/1krfU329f3gA/SrCn2DuDd7WbvBr5+MT2cHUopbwG+BvhRutV9Z3Lea02guRY9AN8G/PP29aqf\n93PAH9n7VTu/XpRSPgv4QprB8pla6wvtVy8AzyyoW7PEDwLfBZzYZzM576EuKjc1zHot+qHijPP+\nnlqr4kLfCxzUWn/ijKaW6rzPwSqdy4VQSrkJ/FPgO2utd9tlwwGotdZV00+XUr4WeLHW+r5Syn/a\nt800z3vlCXTWa9EPFePOWyilfCuNm/OV9vHSn/c5iOf3PKMW90qhlLJNQ54/Xmv9mfbjF0opz9Za\nP1lKeRPw4uJ6OBN8GfCOUsrXAHvAY6WUH2dG5722Lnyt9bdrrc/UWt9aa30rzY30Ra2Z/x7gm0op\nO6WUtwKfC/zqIvs7TZRSvprGxfm6Wuu+fbXS5w38OvC5pZTPKqXs0CTM3rPgPs0EpbEKfgz4QK31\nh+yr9wDf0r7+FuBn4r7LjFrr99Ran2/v6W8CfqnW+leZ0XmvvAV6CazTWvQ/AuwA722t71+utX77\nqp93rfWolPLXgX8BbAI/Vmv94IK7NSv8eeC/Bt5fSnlf+9m7gO8DfrqU8t8AHwP+ymK6Nzfo/zuT\n885SzkQikZgQa+vCJxKJxFWRBJpIJBITIgk0kUgkJkQSaCKRSEyIJNBEIpGYEEmgiUQiMSGSQBNr\ngVLKL5VSfrOdkck//4Z2KsOvHLdvIjEOqQNNrAVKKZ8H/BbwzlrrD7af3aSZpehf11q/eZH9Sywn\n0gJNrAVqrR8CfgD4n9paaIC/A9wC/sbCOpZYaqQFmlgblFKu0ZSp/irwP9PUxn9XrfWHF9qxxNIi\nCTSxViilvINmIomPAXdoJpDJmyAxEZJAE2uHUsqvA18EfEWt9f9ZdH8Sy4uMgSbWCqWU/4BmdvYT\n4CsW3J3EkiMt0MTaoF0g71eAh8Av0Cws9gW11t9faMcSS4sk0MTaoJTy7cAP01igHwZ+B/hQrfW/\nWGjHEkuLdOETa4FSytM0mfe/165GcAB8B/Cft4mlROLSSAs0sRYopfwj4C8Cn9cu86vP/w/gzwJv\nD8ubJBLnIi3QxMqjlPKf0Cxv8TedPFt8J/A0zXIXicSlkBZoIpFITIi0QBOJRGJCJIEmEonEhEgC\nTSQSiQmRBJpIJBITIgk0kUgkJkQSaCKRSEyIJNBEIpGYEEmgiUQiMSGSQBOJRGJC/P/lqjcL7ykc\nagAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4785090>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Note that in the previous image, the limits go from -45 to +45. This is becauase the camera is looking at the particles and the camera is at a specified distance. In such a case, sphviewer returns the coordinates of the image in angular units. By default, the camera has a field of view of 90 degrees when zoom is 1. Increasing the zoom will reduce the field of view. So, it is possible to get nice results by changing the distance and zoom of the camera, just in the same way as you do when taking a photo. On the other hand, when setting r as 'infinity', the camera goes to the infinity and we get a parallel projection, and we can read the coordinates just looking at the axis:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Scene.update_camera(r='infinity')\n",
      "Render = sphviewer.Render(Scene)\n",
      "Render.set_logscale()\n",
      "img = Render.get_image()\n",
      "extent = Render.get_extent()\n",
      "fig = plt.figure(1,figsize=(5,5))\n",
      "ax1 = fig.add_subplot(111)\n",
      "ax1.imshow(img, extent=extent, origin='lower', cmap='hot', vmax=0.5)\n",
      "ax1.set_xlabel('X', size=15)\n",
      "ax1.set_ylabel('Y', size=15)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<matplotlib.text.Text at 0x50c1210>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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k2zlDzoZVg99Ynn4qy0+xmzDq5IFRInTrCUZz6xWjKlnAb9pNW9c135ivX2kI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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x48e2e10>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "If we do not provide any size of the region we want to render when the camera is at the infinity, sphviewer will try to fix the volume automatically. I recomend to specify the size by using the **extent** argument in the camera parameters. By default **extent** parameter will be consider only when **r='infinity'**. Otherwise it is ignored:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Scene.update_camera(r='infinity')\n",
      "Render = sphviewer.Render(Scene)\n",
      "Render.set_logscale()\n",
      "img1 = Render.get_image()\n",
      "extent1 = Render.get_extent()\n",
      "\n",
      "Scene.update_camera(r='infinity', extent=[-1,1,-1,1])\n",
      "Render = sphviewer.Render(Scene)\n",
      "Render.set_logscale()\n",
      "img2 = Render.get_image()\n",
      "extent2 = Render.get_extent()\n",
      "\n",
      "Scene.update_camera(r='infinity', extent=[-4,4,-4,4])\n",
      "Render = sphviewer.Render(Scene)\n",
      "Render.set_logscale()\n",
      "img3 = Render.get_image()\n",
      "extent3 = Render.get_extent()\n",
      "\n",
      "fig = plt.figure(1,figsize=(15,5))\n",
      "ax1 = fig.add_subplot(131)\n",
      "ax2 = fig.add_subplot(132)\n",
      "ax3 = fig.add_subplot(133)\n",
      "\n",
      "ax1.imshow(img1, extent=extent1, origin='lower', cmap='hot', vmax=0.5)\n",
      "ax1.set_title('Automatic extent')\n",
      "ax1.set_xlabel('X', size=15)\n",
      "ax1.set_ylabel('Y', size=15)\n",
      "\n",
      "ax2.imshow(img2, extent=extent2, origin='lower', cmap='hot', vmax=0.5)\n",
      "ax2.set_title('extent=[-1,1,-1,1]')\n",
      "ax2.set_xlabel('X', size=15)\n",
      "ax2.set_ylabel('Y', size=15)\n",
      "\n",
      "ax3.imshow(img3, extent=extent3, origin='lower', cmap='hot', vmax=0.5)\n",
      "ax3.set_title('extent=[-4,4,-4,4]')\n",
      "ax3.set_xlabel('X', size=15)\n",
      "ax3.set_ylabel('Y', size=15)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "text": [
        "<matplotlib.text.Text at 0x5be4d90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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hYEnWuvnU9G9oSCbDI4C6XILXR/sb8Mkhb7dlh0C9ZN7xdkxLs8Z6nkyPjPVh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\nAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5670750>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "From the previous example, we can see that **extent** is taken as how many units we want to see from the center of the image. It will clip de image only in x and y, but we will be still projecting all the particles along the full z range. \n",
      "\n",
      "In many situations, when we want to look at the data, it is better to use the parallel projection, because it is easier to read. However, putting the camera at a certain distance from the object gives a really nice effect. I usually use the latest for making movies. \n",
      "\n",
      "Finally, note that you can change the position of the camera respect to the object using spherical angles:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(1,figsize=(15,5))\n",
      "t = [-90,-45, 0]\n",
      "for i in xrange(1,4):\n",
      "    Scene.update_camera(r=2., t=t[i-1], extent=[-2,2,-2,2])\n",
      "    Render = sphviewer.Render(Scene)\n",
      "    Render.set_logscale()\n",
      "    img = Render.get_image()\n",
      "    extent = Render.get_extent()\n",
      "    ax = fig.add_subplot(1,3,i)\n",
      "    ax.imshow(img, extent=extent, origin='lower', cmap='hot', vmax=0.5)\n",
      "    ax.set_xlabel('X', size=15)\n",
      "    ax.set_ylabel('Y', size=15)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Q2xI3yY1l0xPngSB+U8SkIY5tIAPXKQxa1OPMc9YkZxlDPpdproHVw6yI37IQ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\no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       "text": [
        "<matplotlib.figure.Figure at 0x50bf950>"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In principle, this is all you need to know about sphviewer. With this little tutorial you should be able to make plots of any set of particles. In the following I will explain in more detail different classes."
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Going into details"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "sphviewer.Particles"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In the previouse example, the first step was to define the Particles class. As you may noted, **Particles** class stores all the information about the particles. This is used by sphviewer after to define the **Scene**. The parameters of the **Particles** class are:\n",
      "\n",
      "**sphviewer.Particles(pos, mass, hsml=None, nb=32, verbose=False)**\n",
      "\n",
      "pos and mass do not need any explanation as we already saw what they actually are. Regarding the optional parameters, like _hsml_ and _nb_, they are not required at first, but they are needed in the internal structure of sphviewer. _hsml_ is an array that stores the smoothing lenght of the particles. Smoothing lenghts are used in order to determine the contribution of each particles to the density field, which is projected along the line-of-sight to make the final image. There are different approachs for determining this quantity, but we define it as the distance to the  _nb_ neighbor particle. It is to say, in case _nb_ is 32, the smoothing lenght of each particle will be the distance to its 32 closer neighbor. If, for some reason you have already computed this quantity, it is possible to pass it directly to sphviewer, avoiding in this way its calculation, which can be very slow. However, in most cases, we have not any smoothing lenght, like in the previous example. In such a case, sphviewer will compute it by itselft by searching the distance to the  _nb_ neighbor particle to each particle. Please, **be aware that the computation of the smoothing lenght for a huge amount of particles may be very expensive**.\n",
      "\n",
      "Particles object has its own methods for making life easier.\n",
      "They can be divided into setting methods and getting methods. \n",
      "\n",
      "Setting methods are useful for setting some property we forgot to pass at the time we instantiate the class, or to change some values already stored. They are:\n",
      "\n",
      "- set_pos()\n",
      "- set_mass()\n",
      "- set_hsml()\n",
      "- set_nb()\n",
      "\n",
      "On the other hand, the getting methods are useful for getting some information, like the smoothing lenghts, which could be nice in case we want to save it in a file. They are:\n",
      "\n",
      "- get_pos()\n",
      "- get_mass()\n",
      "- get_hsml()\n",
      "- get_nb()\n",
      "\n",
      "Finally, in many situations, we may want to look at the particles stored in the Particles class. In such a case, we could ask for the particles using the _get_pos()_ method and ploting the after that. However, sphviewer has its own plotting methods:\n",
      "\n",
      "- plot('plane', axis=None, **kwargs)\n",
      "\n",
      "where _plane_ is a reference to 'xy', 'xz' or 'yz' projections. _axis_ allows to define the axis for making the plot in case many axis are defined. If it is None (default value), plot method will search for the current active axis. Following the previous example, we can plot the particles distribution using the three different projections in the following way:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(1,figsize=(15,5))\n",
      "ax1 = fig.add_subplot(131)\n",
      "ax2 = fig.add_subplot(132)\n",
      "ax3 = fig.add_subplot(133)\n",
      "Particles.plot('xy',axis=ax1, color='r', markersize=1.)\n",
      "Particles.plot('xz',axis=ax2, color='b', markersize=1.)\n",
      "Particles.plot('yz',axis=ax3, color='g', markersize=1.)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Xz8H8yXnrAURKhNXDQep8kfNI1HakXYvzAwdKXotNzTE/LzVNnP5uXalEQuFD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\nBQsWLFiwYMGM8f8D9tL83VQz8WkAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x50c6790>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "sphviewer.Scene"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The second object we defined in our example was the **Scene**:\n",
      "\n",
      "**sphviewer.Scene(Particles, Camera=None)**\n",
      "\n",
      "**Scene** object groups the **Particles** and the **Camera**. In other words, a **Scene** consist in a set of **Particles** which are seen from a **Camera**. Thinking in this way, it is almost obvius to understand why **Scene** needs information on the Particles and the position of the Camera. In general, defining a Camera involves the knowledge of the point at which you want to look and the distance from the Camera to that point. Definining it in advance time may be very annoying for most users, even for me, because usually we actually don't know what we are going to see! For that reason, I decided to provide a method for defining the parameters of the camera automatically. This methods is a method of the **Scene** class and it calls the **Camera** class. In case you wanted to define the camera by yourself, you should pass a Camera class after the Particles class. \n",
      "\n",
      "Different methods of **Scene** class are summarized in the following:\n",
      "\n",
      "- Scene.set_autocamera(mode='minmax'): This method allows to change the mode that the autocamera uses to find the center of the image. By default, autocamera is using the 'minmax' mode, which search for minimum and maximum value of the x and y coordinates and put the center in the middle. Other possible modes are 'density', in which autocamera put the center on the particle which reachs the higher density. It is possible to choose also 'median' and 'mean'.\n",
      "\n",
      "\n",
      "- Scene.update_camera(kargs): This is probably one of the parameters you may want to use very often. When you are not happy with some parameters of the **Camera**, it is possible to change it by calling this method. I will explain it in more details below. \n",
      "\n",
      "As **Particles**, **Scene** has different methods. They are:\n",
      "\n",
      "- Scene.get_extent(): It returns the extent array. It is needed in order to convert the coordinates of the final image (given in pixel units) into physical units. It is an array like [xmin,xmax,ymin,ymax]. It is to say, an array with the extreme values of the scene. As you may have already seen in the previous example, we used this parameter when using imshow. \n",
      "\n",
      "\n",
      "- Scene.get_scene(): After making the **Scene**, the coordinates of the **Particles** are projected according to their relative position to the **Camera**. This method returns the projected _x_ and _y_ coordinates of the **Particles**, their projected smoothing lenght and the index of the particles that are active in the **Scene**. In principle this method is for internal purposes and in most cases you don't need this information. However, it is interesting to think that with this method we can plot the **Scene** before render it, which should be faster. For doing so, I recommend to use the following method rather than this one.\n",
      "\n",
      "\n",
      "- Scene.plot(axis=None, kargs): This method is very similar to the one we already saw for **Particles**. It plots in the selected axis the projected positions of the **Particles**. Sometimes it is better to check the **Scene** before render it. It ensures that everything is going as expected."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "sphviewer.Render"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The only argument this class takes is a **Scene** object. It renders the **Scene** and produces the final image. As every other classes, it has their own methods:\n",
      "\n",
      "- get_image(): For most users, it is the only relevant method. It returns the matrix of the image that was rendered. You can plot this image using matplotlib.pyplot.imshow() or you can save it with matplotlib.pyplot.imsabe()\n",
      "\n",
      "\n",
      "- get_min(): It returns the minimum value in the matrix of the image. \n",
      "\n",
      "\n",
      "- get_max(): It returns the maximum value in the matrix if the image.\n",
      "\n",
      "\n",
      "- get_extent(): The same as the get_extent method from **Scene**\n",
      "\n",
      "\n",
      "- get_logscale(): It returns True or False depending whether the logscale it True or False\n",
      "\n",
      "\n",
      "- set_logscale(): This method applies a logarithm scale to the image. It is useful to increase the dynamical range. The recipe is as follows: If M is the matrix of the image, **get_image** will return log10(M+1) as far as get_logscale() returns True.\n",
      "\n",
      "\n",
      "- save(outputfile, kargs): This method allows to save the image using several formats, like **png**, **pdf**, **ps**, etc. It uses matplotlib.pyplot.imsave in the background. \n",
      "\n",
      "\n",
      "- histogram(axis=None, kargs): It computes and shows the histogram of the image in the selected axis. kargs makes reference to any kargs accepted by matplotlib.pyplot.histogram(). This method is really useful for choosing the right minimum and maximum value to show in the image. It helps to fix the output dynamical range to highlight the interesting features in the image. It applied to our previous example gives:\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(1,figsize=(5,5))\n",
      "ax1 = fig.add_subplot(111)\n",
      "Render.histogram(bins=100, log=True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x48e8050>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "From here it is evident that most of the pixels are empty, and only a few pixels have the bigger densities. So, we can decide to bound the dynamical range between 0 and 0.6, without loosing too much information."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "sphviewer.Camera"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In most cases you do not need to define the **Camera** class by yourself. I recommend that you let **Scene** to make it. However, once **Scene** defines the **Camera**, you may want to check its parameters or eventually change them. The parameters of the camera are the following ones:\n",
      "\n",
      "- x, y, z: Position at which the camera points out\n",
      "\n",
      "\n",
      "- r : Distance from the camera to the (x,y,z) point. In case r='infinity', the camera goes to the infinity and you get objects as seen in a parallel projection. \n",
      "\n",
      "- t, p: Spherical angles to define the position of the camera. Once you pick up a point and a distance to that point, the camera can freely move within a sphere.\n",
      "\n",
      "- zoom: zoom is 1 by default and it defines the scale of the objects in the scene and the Field of View. By default, zoom=1 means a field-of-view of 90 degrees.\n",
      "\n",
      "\n",
      "- xsize, ysize: Number of pixels of the resulting image. With this parameter you set the Mpx of the camera. The general rule is as follows: the bigger the resolution, the higher the computational time for making the image. \n",
      "\n",
      "\n",
      "- extent: This parameter defines the bound of the image when r='infinity'. It is useful for making zoom when camera is at infinity (note that zoom has no meaning when camera is at infinity). Read the previous example in order to understand how to set it. In case you don't provide any extent when r='infinity', sphviewer will try to find some extent for you. \n",
      "\n",
      "Again, as the previous classes, **Camera** has different methods:\n",
      "\n",
      "- get_params(): It returns a dictionary containing the parameters of the **Camera**. \n",
      "\n",
      "\n",
      "- set_params(): This method allows to define an specific parameter of the **Camera**, such as the zoom, r, and so on.\n",
      "\n",
      "\n",
      "- set_autocamera(): This method allows to set all the parameters of the camera automatically. The disadvantage is that it must be fed with a **Particles** object.\n",
      "\n",
      "\n",
      "Finally, there is a final feature that can help you in many situations. Sometimes, you may want to know the position of the camera respect to the input set of **Particles**. This may be useful for making a movie, because we can see exaclty the trayectory of the Camera before rendering the scene. For that reason, **Camera** has its own plot method:\n",
      "\n",
      "- plot(plane='xy', axis=None, kargs): This method allows the user to plot the camera as seen in the projection of the input data. Parameters are the same that sphviewer.Particles.plot().\n",
      "\n",
      "In order to show how does this final method work, let's take our previous example:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(1,figsize=(15,5))\n",
      "plane = ['xy','xz','yz']\n",
      "for i in xrange(3):\n",
      "    ax = fig.add_subplot(1,3,i)\n",
      "    Particles .plot(plane[i], axis=ax, markersize=0.5)\n",
      "    Scene .update_camera(r=1.5)\n",
      "    Scene.Camera.plot(plane[i], axis=ax)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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zgY2mJg9NlUl5cQSUww0yb7zn/e/B5pc38bV/+TXg+6d2/P7k25/ER3/3o/jA\nhz5gXKbNmOo2SxEPf12b4u7CM3nXZK3bPFuksepXmAharq52WQoMoa3XWcX+mdKm0fFRLxd307bZ\nlqu+o7ric+zZOIbNJr7ZpB0kaHIyOSXt2oLN+BcNpsqpEOAuO4+cCDqvCg63x7gzQC6bS7nn694d\noj5KtOdbbwhhtO+FOhsUwTfWRujMW1tGz6rMgo1ZvdFo4K3vfCu+9HdfwlcHd/7+pb/7Eu67777E\n+nWfTaDeSRPXPpeyk8pwLSsp8NdUMDVhIHXEqGSAkuEa76vChIjLDFZaPF7cb75tDVV20TTRH/zw\nB1E7VUukTTZ0OFR7bdwrk2hDXvs71HpSzwc6q8iaMDMzk9ievQ7Xc8QWtopYW3DtOxflkOm7HPX7\nPl+v1432hatxxKU8DmRp9aPv1eds6TGwM+xK5bVdUFihzvQQ4xa28mBubRZBEaFrpypQxQlunU4n\nUahzgeqCGPLAajQaWFpaMr5YMw7j4+M7rlmweTcNMhNjo5W1bUu/rd0sYTImWY6bqXImlNueWgfg\nJnj4WOK398VOGkR0KbQQG+oMU+vn3JuhLCecZ7svTS6xhdCeLkkCdhGVEK7Iqi9ptHR0dFTwGkW8\ntkRFlhZTlXeMO/vUsc3awyYJhRXq0mBKaJIWOMeB209MLFcbVULAZaniRlZM9OjoaA8RoHJt10YS\nQVC1OK7rMhQzVmq+9fDdG660KQ9XH5N2xJUrx2nYMPauh2kohKJ9unMu7uxzEYpDC+2u5bqGIKRp\nvYtyRuUNF6uLC2x5rdAWK5t2qbB1mePkEdPKSqOHxLuRQk9FSIHMZBxMxyok3+1KB+M8bGzkDo7+\nFFao28uEmMsMq0Moza0KndY4rU1qW0K5y3IyMS6WhaSydKA+2R4m8vMh5jik5bzENjiziLnEPMSt\nH04Nvo9QJitU4toaSpmRBl35obPCEZKEPRu3XpWG57HH+0l5midcXMDSQLyCy5lpcv5nIezYIqkc\nnfLJBFms4TQegdqQRHtc28kh5GYhMNsoSk15pyLRpcIJdabEw9cCYaLxSPo9rnxfoamIFg+TMYgT\nQjkXez8c7C4Cjmm/QmV25RjXJOZwN0BliE0ZnLzWKoegpYL7AFXLdGU45XLyRmgaFULZmSa0u8JF\nwIgTRF3akiTEFmW9ZAETa7bJus0zg6tJOE7I+2plyJ45NnXQPLjUy80jpJUXIoGHyd4zbX8W+9hX\nEWL7G9f9oMVSAAAgAElEQVTZUTihLm/kSfRNmEVOtyobM3ge/tLcm0l+pohatjiY1BnKamZymO51\ncI1HXDmcroUhDukQZbu63fUDTGIYAZ4+xTFnJnS3SPucuw0mSbT6EXHj5Gph01l5XduThWdQErjq\nV8fS1QBg+r6Ni7lpG/KMY+Q0AoS06PUrCifUuWps45DGlNrGHqUhjalO0l7aujfo3GLItUdOEqJ7\njtsN0/VdjrpN+uLibpQVAQjJvPnWb1Iu9x4qOrhpFNCrxaU64p5L+j3uOQ7h3GZ/+DI6ceVw0wsO\n2Fob02hREgOn+z0U45zEfJm+r2uTqxZbdz66evYUJQYzC5gqOm2Q1xmZtNey4EF8++v6ftz6DuUq\n6bv3iwaZj+E6m9KQl2KycEKdDnn49CcxE74ELY5R7gd3rn5AyIsoi6Dx0bXB5YJykz7oyu2ntZAF\nuMYjbg5DCP022t8sELcmdXs55P42bVfS83HCh2k5XAlL4oTMkDSsCPTRBEVvX95IGx9XV0cOQcGF\nQTd9xgV5CXomyHo/msYL+yiiTEOnAAha7HLO5aHs56ijL4Q6YHsjc6QMTbOmccNEm8hlYdFtJnVR\nAuGTaJgiK42yjRY37wM/ROySXC53G+Txt2nPbgAXoTdhUHwYGB3dVBOMmNZj8qyvxSqu3Vz0ghMm\n5ZnSWxulXtrZxgEui6gvMx83bnkIrrsNLmOVlzIohDUu9Bpx8cIyRci27yalTxzdlIXQNC8vG5iU\nGwqFFOqS3DXyNPfbtCEvImJj1Wy1WrEHLVcb89jEIeoq0ngQk1Sv150OiqTn4whYyST5w2cMG434\n+xBNyi3qvPnEfJnCZ9xd9pbuHZUJDukCmoasGEHd3GZNR0q6xQdbN+Ok93V/u9SdxdrKu1ybem1c\nnUPAJaOvrVLGV/ElgzKZJrm1Z0lDOOoonFAX5xZUJKbaFpzWMJP2x1k15UUqm6TzZDBcmJG8Y+BC\nIxTTym3583l+t4Cz32llxd2HyF1nyHXC9a4OedIBTnd9G0upy/uuz9q+n8QgcdUfh7j69hr6TeGT\nJy/C3Q5fIZirHSHLs63PhGfzCQ2w7d/o6Kj4HKcgdxmr0NfVJKFwQh3AF1NgApcDVPeOqYZEPey5\nzfI2WoosDr4sD4w087mPxsu1HSE0Z1QmEQ7O+XNlJAm7TcDmhK8AlDY3Ptaa0IoSHzdNU7hY/VzA\nZW3nqls+R/KOlUxjZLOmC0SD41yMS5iDW4FkQ2tsaVqIM5GbJobYCxy8TxGQlQwwNjbmlQwu7vc8\nx71wQp2tKTYOtkxE6EngIjIuDJtLGTrYWoRCaQnTLHZZwGa9mAaVu67BfiPYuw15uxjbrvsiWbQ4\nYSLIhLYM6f422feycs+2bc1mE61WS/TfhiEKYekF3L0HslibNN67Da6hIrp384x98gktAJJj2Hy8\nWmyTw3BZ+ThRBCV7Wjt8ZABbHstEkAPgpSjLeg8VTqizgelEmywuG8YoyUJn8658gGdtTZLLMFmw\n6kFoKsyQz3IWC9vXymTzTlIGLpdDlbNteaLIbeOEKcG31fD5gNNy5GOZTWIud4NXgI9GN0Td5Eof\nNwcc56Tpe6Hm2Wdc48ZsryPEWnUpM7SSmauMrNaMi7XdxxOiX615pvB1ZwfSFWWu52cIFFqo89Ee\nmR5gps/7osgbxlQjZkvUQhNBH8bTFmoZur75upgVeY2UiEcWriKuWk8d8vRGCGkJyDt+yIcZ84nB\nCNEn3/nJ+r2i1ZEHfKyeIZhS19hOF2u1DN/9n3aOZxGzmmUIUhK4lSmudXMpRbNQNpggpGW8UEKd\n6vee9BwQnlnOkknIY9PIZXBoM3TvFIEwJcHUkqIihBXCJsaSiwhkaUnaTVCtInG0K23c+n1c5bXP\nHR9su/aS3KOyWsc+99NxwsVbQDeXpu8l7YEkcLhVmVqLS/TCZmyKOJ4cfFno89MFofZQWn1FnGMO\nFKk/WYQIFUqoU5GmKeEsO2u4usT4uMjomK75+XkAwMzMjFV5IZCXH7mJr7ypttOWudH1mety5d1K\npPOC73j6eAfkdfDauie5CBCm5ZvUn1ZmyPHTCRU273AhlCWhpCf9hbwVdVnTrKyE+7ytPVnuQ1Nl\nSl7jzK1AtCnXJ3YzhGWcUCihzke7Yruo8nbVMYGLO49t+e12G9VqNfe+hoSP61rWzLN8WWUSbLWs\nccSHu/9ZaKJ2E7J2Aw+F0EKSzfO6NchpTY9rW1IsYT8hlAUnbXxMyrK17JWCaDpMhCEOyxeXUiyv\nuSza/vYZD5O+hPC+SGtDqPjfrNdOWibmkO0plFCnYre6Vdj0S91QPiZ23buzs7OZadCAYglQtgdW\nCEWAjtnk2vg+jCwng7Vb4NvPuPfj7pUM0QZbZKXNN0GcZthmP4fuT7PZZGWEXPaYzZ5N0iSrXgdF\n3+d7jR7ZwmV8OMbU5BzimDMXpa0MzvWThUdA3grUogi3SbD1mLAZ0zieGog/y03K953XQgt1NnBl\npk3goxXQuU+aWt+KxFDJyOvwdBE08jzobermbm+9XgewZflLIj7cKCpxDwkfWuJyMO525rXI/TOx\nZoRIl69qzV3PpLjvubT9STCxrunc1+V6khj3JAttiXjYjqkOJuduKKVYVsi7fhUcgnbaM9w8Ypr1\nj4uW+D6fBF/lfkjrJ1Bwoc5X82KLrA44Fzc4n/pM3guppTIpMyQjp5rCXa1PWZruQ2/8OLgIonsd\nJi55SfAdx9BuMkWEKbOYtYCYxgi5CkLyOvJxy1frTYrfTRJg80RcW1yUK3sJLnOXRNP6TSmcBu59\nq1NQFBk+MXIh59SnXdzCn29IVBZ8VaGFOl9wLTSfheErvBUJeRNjlw2RRVtdmQzZmqa+46vt90mR\nrkPa3Oe9NvoFJod92lju9jHul/65ttMmEZJqcQe21kecAG9Li3zitUPMk40yraQ5fOB29e+3OfER\nHHRlhIaOdzAFVztNFOA6BX+WayPLObGJ9w0p8HsLdVEU/UcAHwZwudvtTsc88+8A/CyA6wA+3u12\nz/nWGwKhzdmccLW0mTACqhaTFmFIt9GQ5nGbsrPS+jcaDbRaLYyOjia2IQ9Lgy+KcrBnRZt086X7\nLRTooOQ4KLjnjtP7IW+6QvDpk+07rVbLqAxXy1MojTcH4izQceeUDfYKbXJBaKVSyLO+SChim5Lg\nc4aE7GuaV0YoDzsTF2KburNaqxyWuj8C8O8BPKn7MYqiDwH48W63+9YoimoAHgfwMEO9qSg1fP6Q\nLUYu7l17Yaxd+zYzM5P7uLjEKeogM1ohM7ZaopC0qaRLuwOuArzN/NpeNdMPbl95edAUDIWiTepY\nut756DonXOeQ63tpgoMJOJVpaW328cTh2jdcroS+QlkSv5GVN4Hu+7xCebyFum63+5+jKHpLwiM/\nB+Brrz9bj6KoEkXRj3W73Zd1D+sGwvQ7DmTFWGVhAjeFiatOPx2godrKWW5aWXSo6oi3SQxVngJC\nUWK7OGmTKZOcZ7+56ua6J5HK4NT+5rmukzwaOMdMRlaWtCwTpgDmd4Nm5TmRNbj5Jk4UZTxVl0gd\n8+6zXm3K4BgTnctk1rGdabx00fgJk3pt+A3dOvKxviWNV1o9oZBFTN2bAcgr9yKAYwCCEycT6DZa\nXKKKIhwiIRKaEEIIc0U5ILjAMf5xZaS5AqRZwEKtT5vy+my+C0GbQq4pn/fycCUtEnziHpOesXX5\nsa3fts1ptIWbrnCuI51wWIRzmgG50qY0YZvbGmxSjis/1g/eRSaKdR04aEne4Fb8ccGFfsvIS7md\nVaKUSPm7G/egzvwc953pQnCRvNVEFaZuZaEITV7oF8LQj0ga2yT3ClMNNn1OerbZbO6I29ljc21E\nm/IakzxiKnWWKJN2xQXvZ2HhzmKc+plxIsRZyJIYEPUsNGFAVSuL+pzNeMWN8fj4uFDA9sv4W8KY\nbyqKuy2nV5XrerEpNw4hLO+6Mz3tHFeNC3E02ZbvNLHOmbYzJDjohFqe7Ri5gFMmsUUWQt1LQM+t\n08de/24HPvOZz4jP73jHO/C+970vSIPkgYzbaLrB9pW8Q7hK2tYvEwkTQlGg+CgA+TNRHPXGjXse\nxIh7bp955hk888wzrGUGhBVt2tjYAADMzc3h1KlTwRtnA9d1mbbmksDN+GRlGeRQvJnstbj3fcbc\n9jnf9gD8NIITurbF9We30iYA+PznPy8+6+gTd0KHIlhGOaxZcc9mveapXjXsYnl5Ga1WSyhHlpaW\nMDo6irGxMe29lWp5Wc6JbZ22gqX6HiFEH/OIh+OiT1G3G6v8MS9kyzf8/9RlcXo94PcT3W73Q1EU\nPQzgi91ud0fAbxRFXV1b+j12Lo8647SkJKQB0Gp/VELNffdVpOodAdguv7yFOhlFaksc8nTtA4Ao\nitDtdjUznw04aZPLONi66WW9prKOpTIpj5BEn3zapHuGgzbZIoQrfZFpURawGYfdQJtef1ZLn1zp\nig9zXiS4MP++Lne+5atCXb1e78mSTZ9rtZoQ8oDtpGtyn7O+uzSrdZO3UJcVXOkTx5UGZwCcBPDG\nKIoaAD4N4B4A6Ha7f9Dtdv8yiqIPRVH0AwA/AvBLJuX6mD7VMnQTE0rL7KuF5SK+unvOSCNiuimK\nkvBCRiiimidCKi5CWFqLOIY6cNOmUP3NexybzabQANtkVeNut648zjWct4IwlBBcJOa7CLQhVNIa\nToTgm7gUd7blxD3vuz651lJa++TnkupyXVdyP5rNJpaXl1GtVnuyXxNfRnSO3GlrtRrq9TqWl5cx\nPT3dcwXS+Pg4lpaW0G63e/g9qqPT6WBqakqEWBB9T7rjzmfMudZNWjuy2NdxZ1HI+rnK58h+edrg\nmU+4lC1blbhRZJcSHdSNmMTsyIvCdVMU+UA0RQhrowwuATMkOPrer2shJG0yBedBR+A8XKgM3X1o\nWdTPXW5ebmEuDB9nu/p1j/pAR9/7ZRyyoE1ZKxk4YLOP0tqfpUeUKcbGxnbQWhLaSNBTy6d36L3R\n0VHxGz0vK+YAoNPpYH19He12G+12G51OB+12u4dfJCtg2tVKeSujOOvhsPKFaL9My3z5wqwSpViD\nBkxncbItw/Y37rq4ylleXgawLdjlYUlLW9AhN2yShskUoQmTjfuXbZtshdSQlqVGo9h3YYVGERki\nGUkHmtpm2YLvMqc2GnbbcSui4BO3f9MYUm4mO4TCwAe+7lRZnKEltqAqhYug9NTRJW7EWSSTaF/S\nuRuXREitp9FooF6vY2xsDHNzc1rGfXR0NFYAkd0vdfXRb2TRO336tHDNXFlZwfr6OkZGRkQ/yMJX\nrVaxtLSEZrOJWq1WCCtUKKEJSDcUmVgI1bnjontx8ZG2KKxQB5i5AuTh+pJHWWkZ5YqulTaBj2Ut\nLn7A1fUj7bk42IyNKSNts8nzFjZCW0fzhBqvQOBUcHC5cYeEb/1xe4Tb5cXXahcnrCbVpfbNhq6Y\nupnqaJ3ajryRBR0qSl+LDN2aLTKNtqGlnPxXCKi0gAQyco+cnp7G+PiWiyXFyBEvILdLdo0nxbYq\nKMr0R6Yho6OjaLfbAIBqtSq+J4Fubm5OlElQxzqEAUTXdh+Yrg9TJYaL+yfXWeU7HoUW6gB3ApQl\nc+sjqdvEi6iXViaNSyhzeto7IbVrpha6ogidSZYR0/qA3uDpohzCRWlHXqDsY7p06lyMgo21TYUt\nTYj73WTNy8qJtLp8103eSguTuuV7TnWI60OeTDa362sW7yWhCOukSDBda3HKURP4vJtWXtJ3NuCm\nSySoqW6N6ndy+WRBo2d19+8tLCwId0yy0lHfW61WrLVIDs8hTE9P97RnfHxcfNdoNHbUn3aFiQts\nysjTamyiwON4x6ZNtii8UJeGuIFRGfvQVjVXQYLrIM/ScpdkYfIVGDmItUu8pEm9JnMs1811Ma6t\n9p4LLi6mPnNYdNj2y8TypApNPoqhLGmACTgsSi7joXsvK2GS9qrteWCjhOO2VoRAVu0qav+LAp3F\nOM8x0ymyTdrjyjiblpsGk7viSJlDSUmWlpawsrKCqampntg3YEvQGhsbw+OPP45KpYKTJ0+Kclqt\nFqrVqnDHlOmnTF/Gxsa0QpzcL7k99FlNqiLPhVwPR2KYOHCsw1Br2oXvSfrepg4OFF6oM5mwJDeZ\nNNc2H6j1uhzkrmbotHGRL5V2ZXB0MWwh3RXikCRExj2fhlDClY1wmWapdV23aUTJt3zbduwG2Lj/\npO1LeobmPw621rakNe3q8WAimKqfiaYB5goWHwtkKNhm3QwlqNrAR3i2obEmbSiywLWbaBPgxufY\n8E22buE6YZKgs27p1q0N/Qth1dPVqZ7ZdGecDBLgKAeCCnpnfHwck5OT6HQ6PbFychZilW6TZW1p\naWlHfJ3sIaCOnyyk0d/0DtUj/ybztJxukqHBkXfBBSHXny0KJdRxCWBqMGSSW0Da3zLU72QGrWgL\nPo0Z8V38psyeXBeQ7UZzQRJTZLJG4t5N+s6lfdyWCF35HBqp3QhTNyPdb+q+9D0s5Xmi+kzWp+ka\nNnERN3EntKEXNu1TYaJYs7G6JbXfBj59zXq/cTAjWV8Z1A+CZJ4w2Q++cBX8OOoMAV1/ZGW5/B3Q\nm+ii2WyiWq0KixyVozL9s7OzPXfN0XNynJssHFL9ZAFUoUukotIwmaZTVk1y8dRZ6EhYVMciDrYW\nLhPEKRK5FFEyOM8jmzq4UCihzgQmQpgaDOmy8U0OYZ2myXayQgmEHOXqBL6k8TD93gU21jeTd0zH\nJgTjqWuDaXph23LV79Pa7MOMJbmJ9TvSrF/0Nz0bJwxxMzWm8KEHquBposxwoYOEpHGVn0lri4kg\nsF2PvwImhDuQLY3xoVM256WN8pMDqoU7rZ40hm830SbArT9x8+06XrokQWk00Kb8JISaY7VPcl/k\nKwYIjUZDJDaRv6ffktpFAtvS0hLq9ToqlQpGRkZ2tAUARkZGdmTLlM8dOT2+6qFBiVrktssx4jLk\nd1TY0Kas7o5U3VFNlJYc7bJdf3vG/ZJLC5dkxUizcJhqvXUbxbSNtgtOBcdCCGGejmsXR12um8B3\n7cjZptRnVHcVH/e2ZrMpLhHlEEZdYeNutle14/L8J813yMxeJu3zfYa7LJv34lzHgWTroQmtkZkf\nU5jOgU1mT5tyXeAqnJmcS2nW2zSGxpZWqnW5xszvRZqV5o7vqvxW3+e6+9fWiwDYyY9xYHx8HAsL\nC1hcXMTp06d7+kn1yoKb+l3cmlX3zszMTI8FcGVlBRsbG6hUKgC2slbK1jS6d06XMEXHp8p33BHI\ngmii3JXppDzmpvPNMSdJimpfmPDu/UQvCiXUucCVmJu6vOgIne4dDqudK0KZt02RdlhkBVWTz2Ep\ndGVcbFGr1bwPRRv3lzjGyqdP/UT4OKCjJSHcQdLgq/AgcCqkbMtQrVxpV0aYMHBpv9sygVneQ8dJ\nQ0OcC1nH2LjQqL1Gj1zAGULiuk+TYMu3cYLqkq1lBBKS6CoCFXLMG8XQqXFsBFUoXllZwcTEBKam\npnrup6NYOvlicZ2ApeNd2+12z910VGbcGaaOAQmyZOGj6xgaDbOcEKHmy3Y95OVNlGW9fSHUhTwE\nbeMZbF2BXDShts8BbuZtLgJpqgn0QQhrgAwdUbM56EIdipyIixFwrbsownzW4HD9s3k2L2ExT+iS\nM3EeiDsZHz3tjqszTiC2bZtrX0xcS03K59j3Lu+btJvLxTOEW2w/IZSVw+R9l/Ml6VlVCDXluVwx\nOzurFZJGR0fRarUwPz+/I2RCpQ0kkMlrWr57Tu3fyMiIyH5JIGueGksnhxqpZ4Rs/aPy6M46+l+u\nV4aaWIUEQiqLyyrriqxDe+LqN303K/dToE+EOhlczH2SJY7gShw4BCubun019C5lJMFkbEPDpz9Z\nbkBOmCoa6HtVK2cLtY6kjKu7GTqFjY3rW9JvIfa/+p7sUsMhBNgqykzLzRuhmGAbxV8omho3Z0We\nl72iRAqJkGPHIXDpLMSh0Whs3xM3Nze3Y8/JbpbLy8siZCIpVEdFu93uiaMnrxm5f2rSkqWlJYyM\njOy4HoHarNJwsqrNzs72fN9qtXoSuFBdcpn0N/2/vLyMTqezw2qZt6LEVmGRxmenGWjiroBIG4Ms\nheC+E+p04HQdzPt5V+ShcU0rp58OW7mtWR0car2hwc1MJwWR72aYCM9cmmmbOncrsmY8435zsfiE\nmqsQFrgiwESw9SmzRDI412uIte+j5Epj4OnvZrOJ1dVVdDqdHoGOBDeKb5OzR+qULXF3ydVqNSwv\nL+PixYuoVCo9VxzU63UsLy8La1ir1UK73cbY2JgQ5oDtC8xVt8hqtSrcIavVqrCuUdlybJ5uDHTu\nuI1GQ7hsdjqd1DHVhXVwr4W8z0Nbw0WWbdsVQl0a4vyF6buk50PDVaMQos4iIE+GVRcbRSjymMmw\ndQX2gS6rWb+MU5YwHXcboYHrYntdfS6xdj7P73XI9CYvYS3vOXNZu3mf3UUHl4uu7zsybNa6LdLa\nluRJ0mg0hKA0OjqKubk58Y6ahZeEIrpcfH19veeScRLMAH3CJyrn+PHjwvJlMxaUVI3i2oBtS1q1\nWsXy8jKWl5cxPT0t2tpoNISwWKvVMD8/LwQ8uY0kJMpxcgsLC+h0OpiamhKC4uOPP45arSaExsce\ne0wrNKbBNpzJBibl2ChjdedyyPXsir4V6ly1pvLGJYRyq6E65Wd286GTR9/6cTyL3GYbd+C8tWVF\nQB5EXadV5YRtdjNTJK0t1+x1WSvgGg2zxADyO/0AOht1cT5FxF6lN7ZIoxGuWURNECd0p2VO1cF1\nvuX34q5WoDbJSUloH9Tr9R6ekfaG/DwJNisrK+I5En4oQcmZM2cwNTUl3Dmnp6dFXSrkeDq6GqHZ\nbGJxcbEneYrcv9nZ2di4uDNnzmBkZES4XKrCKbVRdgGVrzcgKx1ZFJeWlrC6utrzm1qvj+eKLUzX\n9l5B3wp1SVCZBHnzxqWbLTpCL8xQh6SvD32WSHL9MQ3gzxs2WikXmPS9yOOTB0yt8b5WCu7xzmr+\n1At9ufYY9zqU41a4kTfdzRshaFO/jQE3Qlh9OcYyVOZUk/7qniGhjaxzTzzxBNrttshITVawlZUV\nEQMn8486YRAA5ufnxTPr6+s76lVjs+h+usnJyR5XSyqb6iK3TIKshFP7ItMrOVkLJXdJyq9Agp3O\n8jY3Nyf6Wa/XUa/XhRCcdi2Tri4aA/U7H2TF4xeNvvSNUKdOuCtBysKkq9ap+9tWSMj7gDI5MJNc\nuDjq1tUTYjxCjnUeLi82SBNA4ua1aIQtS+TVd856ZUVY2mHo4+apg0mdtmWagu6hBMysU6FT+dta\nLblog+nZqGtfUeKDgb2rnY9DnLWMfrPxcoorz7c9BNqLOktx3Htp7ZI9KeLKUoUWsqLRs9PT0yK2\nTX5fjn+TyyEBB4Bwy/yVX/mVHmFJFsrkqww2NjbQ6XTEHiNBURYcSbCkvlFZY2Njwp2SPEfGxsZw\n+vRpNJvNHmucjo9Wx0VOnkLCpCwkkseCCrn+PJFWf6hQFdt3ueln4YW6NOEgTrjw0QDk4VK1W2Gy\nsdKeMXEH49igSWuNS5Ps4npiUz6wU1HA4bpCMCljr+0ZX6Kct8JGRZpyidz0XBktk/o4aHBIy6XP\nnCUxr2nvyCnMkxDK8pf2nUkZWVkli7KfiowQzGvR6BkhTuBX96FqQZOTnajPLS8vi/g2OWkJCVq6\nO+7k9+QrE6ampsTzdA2CDPkaArLIqd/L1jK5zzrLnlpWHJ9FZZ45cwYAcPLkyR0ummq2zCSYxnoS\nQq6jPK8CC1Vu4YU6gg/R0X1nwuzqJpxrIn0YZV0f1OdCE9Y0Bse3HTpfeNe+2G7cUBa6JA180jgV\n7XAskR+4tYAuWnvS2vYD0vqfV/xYnDY7aR5kjbz8fBpMhUj5uSRBSabtrrGQSXDxXCktdHq4KuZU\nhJ5fEp64rP9JdE1dt6qyVVZa0f1sJLTJVrpWq9VzkTewtXfIqjc9PS2uK5CFrLGxMWENlPfS6Ojo\njusK5HAh2QWz1WqJsigjZbPZxMLCAoDtGDvZ0kftn5+f77EwqheSy9k9Ca1WC2tra5iYmOixFqpW\nR2or9ZmTvnJ5tLkYAGzOXdc1zOXdVnihzlUjaXLgJB0ERda6hzjAuLTQrvUmzZfJBktqq4/2iOtQ\npHaEHNO4NmbJ6BRVSxsKHO60/TRWJsJfCMUXsHvWliw0ubxjqzCjTHwyg5Um6KnafJczMtQ6V5nw\nfl8PecJ2DrkQSgg38bYhgUx2LyTrmuqKSRd2k+BC99fRc+QGSfuJ6tclECEBSLX8yffVyc+pwpKa\nD4J+p+QpZAGUBTR5n9N77XYbnU5HCJa6KxVUT4yZmZmeRCntdrtHaKR2q21LmgfT733BrTAPIRtw\n7rPCC3U+SBMQ0pj9rA4L2wk10dT6LDxbF8GkunzdOjjdQ5IEN9s+c7iY2YJbM+5iqbZ5v8QWOMeJ\nS5PtWl4afCzSNs+YPp+lYBg6Xta1zXKMUBLU+7RM6GFam1yYd6L7Oktm3PoqaZAePuOSdC7anplp\nljPftqpIU/LKVjrCyspKj7WMnpX/J7dJOc4N6N07cSn91Qu+CaprpBy/RwLa/Pw8JicnMTs7izNn\nzmB9fR2Tk5M72ksXjVMc3OTkJM6dO4eVlRVx3QKwJQiqcbHyVQxylkzVGqf2Xe0fPbO8vNwTX+gL\nLhqZxq/qaI+tIi1PFFKoizPPq98lIeQhmXWZcXWEWmBxDFlI/2OZ2KdpsUOMcVyffcY6q3dCwcXF\nrgjtzhJZavp2I7IQanzrjbPW+8b8+V4dYVqvjqlKY7Q4FEecgrsMjrZxuTr1I2xilpLGOu3MTEKS\nolDeF2lrKCnxR1rdcnwwJUNRn1F5nscee6zHfVF2gyQeRi4/bo/LVi4SymRXTwK5OFYqFayurmJh\nYVocgh4AACAASURBVAHr6+sioYpqcQS2hUTKUEmC3Pj4OJrNZk/8n9y3VquF1dVVTE5OYnx8XGTv\nVAU4eZzkaxxM4BJPrIONgrso5y238SMOhRTqTJA388sheBKKsugAP8sf15xwaGBt4vzS6tBpJbnn\nzESg1Wk5bWDb734hlkVHluOUd/KCtDVqstdMnosrM89zwbXNtkqfEHFsMrKymLi8168Ksn6Azflg\nyw8kKUflz6pLX2jILo1q8g8AO9pC7VcFI8L8/LzIeEmxb+TKSEIS3VVHVj+Zr6hWqzvasry8jKmp\nKbTbbayurqJSqWBycrLHDZT6AGy7W1N9JBg2Gg3hxq1exE79oHJpbHTuok888QQ6nY5I6kLPLS8v\n9yR+UWlUo9HIdG6pToCPBnAo80KjkEKdicUkT7i464VA1ovKtD7b5Av9cPjSXNts5iRtZNzvRRuD\ntLnhVG6U2HtI8ghIeiZEvbbPhrRk5Q1fS2YafIUzHxf9IvAQWYEzJjwLyK6RafBVctL7lC1SFooo\nxo3iyCjuTU06Ir8PbFmu1tbWjOquVqtYWVkRdctulNQvOcslAFQqFYyMjKBarQphbWlpScT2AVsC\n5/LyshAu5Rg9skzKLp4kbAG9sYCqBZD2WrVaFc+RENpqtcRVDPS8LECSkCrf4+cD37kn7EZepXBC\nnY27Xl7QuSHmtTiKtCiLJHjrxkNlBOR2pmklXQV53/nJMx6rBA+yXAOhBJCssJsFJR1slSKhFGVZ\nnyNZWJTjyt4LcOmraoXwnQsXpWWI9ZcWSw9gh7VMThQiW7VIOJHvfAOAxcVFAFtXGNBF43LiE3I7\nHB0d7flMUC8Jl0HumHI8nPwuuUBSOfL7coIlaqNcrizo6SyPwM6YPzk5DLmfysIujdf2HaDxruau\nayyknGBTZpH4O0LhhLo0cLqfxX2XhjjGnjOjUxZuNrbtAfwYS9/ns3Qt05XJNRfcazgkkuqJa0sR\n1is3bN0tiqBs8bFmmJSZ9J0PduP6sQUxjbZabS7BxWZ+Q8+XzuXJx/K0l9ZXqDOxCPTNFnKb5aQg\n09PTok+yqyHF3K2srIjEJKprJv2/vr6OSqWC6enpnisGqA6Ceg0ACUILCwvodDo4efKkuJqgWq2i\n3W6LOLtarbbjrrrR0VHhmklWPeoDJT8h66cqDOog8zhyO1WhVr5yQY7ho/FV+de818te8igqnFAX\nWuJVBS9bQaxojCyXJjYk07etscnnTijAbN5CuEXmbXlI6tNuJWp5wZQ22I57CGtLv8w9Zzs5yuLW\nLMfRGp3G3KYttsxL0m9xZ6TPeJoIiNy0q+hrnRM+55UqQHMoCvK0BMtCHAlwsruhfGdko9HA/Px8\nj/AzNTUlrGGyMAZsuWp2Oh3hFjk2NobTp0+LPUOxZ+q9dDLo2fX1dVH+uXPncOLECSHYUZ1kJZuf\nnxeZJWdmZrC0tIR6vY7Jycme/lOsG/VVvWuPBFb5ygMCtYXKp/bLCVloXKampnrelT0KOOmU7j0V\noa1/tuFFWcNbqIui6GcAfBHAAIAnut3uv1F+PwVgHsDq6199s9vt/o5vvS4EX/csZ1wc5wRnaRUw\ncS3MY/Gq/eLSFGfZ3361YvgygkVBHvQpjTbJay8ks+NjzTApk7vsvQ55LbjGnYRgdrJYq2noJ+8G\nU+TFO7mCk55kZfVTBVIS4GRBBdgWrMhiBvS6R548ebInxowsVpQtslqtol6vY2lpCXNzc6JflEyE\n6iaBkd5fXFwUMXJU78zMjBCWZmZmsLCwIARSAl1XoLO8xbk60t1yNM61Wg3Ly8tYW1vruXeOLIDy\nBeRUD1n+SFCmi8vleEB1/Kk8QihhKwlx55aqwOCq0+d9XyWKl1AXRdEAgC8B+O8BvATg76Io+k/d\nbvf7yqOL3W7352zLD+HyZ6I9SGsPfS6alSwJaWWHcC2kfpkwKKFiQNTndG6tRY618NVWJ613V+Lq\n+n7W4KZPpm5oaetJt9dCHVw+z5q0yXdN+KxvW3ds3/Xqk47bpG41Ix1HmfJzrnROfd9mXfisMy6F\nUqiLrn0QmneS4esZkMT8mtaR9dhTm0mgIEuU7NasXiHQbDZFEhBZoKE9KWfmpM+1Wk08Kyceoecp\nW+Xi4iLW1tYwPDyMWq2GWq2GZrMpBDqymJFwdfLkyR3JS9RYOTkGjvoou3fS+7Ozs+K75eXlniyV\ns7OzIrZOjp2T+0kCpRpzR/0g6FwuKd6OxkO+/y7UmnDl8bmf08HUUOEDX0vdewH8oNvtXgCAKIr+\nBMAcAJUwRSaFqSb/JGtKktl2t2j1XBaZCyNUhL7qwNUu9VDPMk6xCBZOAD3uEyYw3YcFBxt9Is2k\n+l3cs0nl6P42ZbizpE8czHDIWIYsmfVGwywdt0/fuPdYFgxEP6CgtIuVdyo6ktairXIgycqn/k0C\nF30vp/enz7IFTk5uAmCH0CILPnL5snAlK2fIireysoKJiQkR10ZnyWOPPYZGo4GVlRVUKhXhDgoA\nTz31FFZWVoSAR3F21D6KlQN6s4ZSHCAAISh2Oh2RwIXeHx/fdh+ke/dkixv1g+7Dq9Vq4hykjJty\nW6icVquF8fHxHiGYyqexstmTXHTLhvf1rTPEeWcKX6HuzQBkbuQidgZOdQG8P4qi72FLI/Ub3W73\nH00KN2G+XZlOHRGgstRn4v42nSwuM6/Js0XSStpaDtK0gTZlp2l/Ofyi87awxlk3dPuBgxkNYV0K\nDDb61Gg0UmmMj0uR6XNcMcAmMKGpXIefi7LJZj5cflchpw03hY0l04cW6er1VcbYWtBcaSqnlda0\n/AIgKO8UNxeu9MCEx4lrR5w7oC1kC5hpm9LoS5xSrdVqYXFxccd9c/J1BvV6vSejJMXUkQWwWq0K\nCxewbU0Dtu56AyAEJUp2QoLSmTNnsLm5Kdw3STADeq85UK1iVLcMchElTE1N9bhUU3ntdlsIjsQv\nqP+rkBO8jI2NCasfnZd0F58JuPdpVso+m7qyaJOvUNc1eGYJwHi3270eRdHPAvgWgLfpHvzKV74i\nPp86dQqnTp0SfycNHqc7k0x4Qrqb2RIomzJtYsVCMOahmf0ibqTQsOmzbj/4xOgkHYwqnnnmGTzz\nzDNOdQUAG336/Oc/j+HhYQBbtOnBBx/soQ/qmPju6yQNddz+5t53Pgx10jOh22fbpq3v3ZhW3zaF\nhK9HgrqG8+6b7/rerbQJAD7zmc+Iz0SfVNgK+pz0RBU+bO6iI2UvsDNezERpq4Pshkmp+eVU/SSI\nyAIJ3e0mZ4JcX1/HxsYGHnnkEWGlA9DjwknWMxJ2gO275CiBCyVGWVhYALAlIB4/fhzAdjIWKpcE\nRhoD+Q49KpuuFJicnBTvnjx5Ugih6iXr5KJJSVWoPN29gbJlc3V1VXwvC4RkySPLIgmrVA4JoLKg\n66MUjQOH8t4XpvVy0Sdfoe4l9J6G49jSOAl0u91N6fNfRVH05SiKRrrdbkctTCZMpuA0k6oMVNLd\nIXGw1W5ymaGTiGWWFpU0a2cSONtno1kMpb10hY8ywbVNLu/p3lGVMZ/97Ged2sMENvr0hS98oadg\ndY7UNRTK5SuNGUpixEMcmmkwjZkztdS7WJTTnnONNTNhUPNmJLJ0B82SAXOpa7fSJqCXd7JVgJvA\n54wMocQxLTNub9NVAbo1Lrs0ym6Y8/PzAHqtVpVKBZVKpSe1v3qJuJxlUs5Q+eyzzwqBa3h4WAh6\n9B2AHrfJSqXS034q//HHH8fzzz+PD33oQ5idnQWwHQdI2Tfl74CtO+vW19cxNzcn2qsKj3IfiNaR\nYEvCW6VSwfnz58W7586dwyOPPAKg151VFc5VhAjzkGMqOY0mHLRVBy765CvUPQfgrVEUvQVAE8D/\nCOC0/EAURT8G4HK32+1GUfReAJGOKMUhT4ZbXmBp5dkyBiEIa5xAZxqb6NMGuf8hYxh8rQQh6lOf\nD3G/oE1ZIdsgM9594H4ZjD7pFEA29EIHVWOcVKdJm1zbkQZTDbvcDk7YWEFNBAVbBjFNQE171gdZ\n7jmfOnzopm17XOoqANhpU1q/iqC0tPX8UH83UVjLCY3UdUXPy0ILWevkuHO1HjnTo2x1JLdJymJJ\nCUjk9rVaLYyMjGBtbU3UXa/Xce3aNXHdAcWizc7OYmFhQVjAKpUK5ubmegQuOQsmsBW3t7S0hHPn\nzgmhjr4nkBBGwuzIyIgQ9shCd+7cOQAQQqR6Obp85x5Z2FqtFs6fPy+Ex7Nnz6Jer4s769S5kRX+\n8jlHY09WO461x+X2GwIh6biXUNftdu9EUfQJAAvYSsv7lW63+/0oiv7n13//AwAfAfArURTdAXAd\nwC8klRmKIbXVUtswLrbvZQ3OsUxjqEIyAiG0OUn1mUBdVyb3S4Vuj+sdV3lYckKCkz75ZD4Ekq2v\nScxY2jypSBKmTDTdPvMeF7eS9pvub1uPhzygY1CzRtp8cQisWcH1nDIR8ovQPxkheCdCnMLJp++h\nxi10DgC1XHJvlDNeAvqwG3l/N5vNnvg4ueylpaUe65rsDkn/q66IcrZKoNeKRhk46/W6EAQ7nQ7W\n1tZEPJzqOin3TxZY5QvMR0dHhWum7GpKFsgTJ0703Ksnu3dSWQRy7xwdHcWjjz4qYv6OHj0qnlHb\nKUP+bXx8PDXm3wU619E0JJ3TRT6LZHjfU9ftdv8KwF8p3/2B9Pn3Afy+bblZJ/zw1bQWVXPK3S6Z\n+OThr2yySU20eaawtX5kmVkzjzbk3TdbhKJPMrjGRCcwutJBH6EtrU5uwc8WNu9mtV5NDnyXvqvv\n9Mv+y9IqZBtjWpQx5KZNPnuaG5xu0knQnc9koSOPEvkZEkzomYWFBbRaLczNze2IM1N5QVpnFI9H\nIAtYtVrtcVGk7+gdElwomUmn0+m5543ql61cKysrPdchyO8TSOAEIKxplNRFd02Bzh2xUqkIwVQW\nEgny9Q5ULgmHwJY76NTUlLiEnHgQdUzlNsrW0xA8SxH2eR40yFuo4wZtQm7Np4mWWkZI7Z+t9t3k\n97Q2cGkqQ2hUCGnCWGhNrKsbT5EYLlOBNs3KXIS+FAkqo2A7967MjcqwcggGSQglqNlatLLcx6Zl\n2sZnZGEd4ig7K9fRUAi1rncDXPkpE68NX+8FXZlq3T4g4UtO7EFCFNFx1ZWRBI7p6WlhcaPrAU6f\nPt3zXKfTwdTUFGZmZrC4uNhzabksUMmCFoCeKwbkawYoc2a9XhdWPCpHtp7R3W9y7J9aBn1utVo9\nSVtI6KS5k10qga3MmDTn8tUMAHrGgoRQ+r5arWJubk68JwtyVIbMO+qEzbz3qAlf3g+0sXBCHcF1\n0FyFI/Vv1QfbpV2mC0B2kSj6opEJeAiGIu05l7q52ln0+9psx9J3XIq6RrOGi5LG9BkXhVGSu5UJ\nE+UjoKa1TX6/6LROhcxI2cKESU4an34bKxV5tL9fxyoEsh6LNP5Lfi7EeURWIhWymySw7QbYaDQE\nb/Pkk0+KNP2EkZERUd7MzIwQnFQlN9EI2ZpGZVHsHgmDsnsmtXlhYUG8J7tuyn2j+Da6FFzOHklX\nDMSBEr7QvXGdTgeVSkVY2NrtNubn5zEzM4NWq4WnnnoKw8PD4r69kZERcUG63GfK7Enj3mq1emil\nLFTKwqmcSVSHLM8Mdb1wW5KzQmGFOl/4Tn6aZpnDpU8uWw6+TXrHFXksLq45MK2HPtsy1yb16QhV\nSKGWw8WN4NtOX4v0boCp4MPZZ5M4NBOEPhBd9xsQxi0sBK0ji4cOWbrY2IxvGm0hcLQ7a6HN16ti\nr8PH80d2c3RBWgILDqWRakWkv2VBjSxx9XodlUoFp0+fRq1W60lKot7Tpstw2Ww2hSWNPDrIGkfC\nEtWzvLyMkZERrYJIjl2jNtAVCmfOnAGwZS2kpCbDw8PiYnDZHZMERmo3uUpSmWtrazhx4oSwBFI7\n5AQt9C7F2XU6HUxPTwtrnOxOSs+ShU4WVEl4VNeKLCDL85fn/tStR1famLa/OKzccdh1Ql2aMGa7\naHwWmem7e9ntzWWMZGRlQXMJus0a1DYiGEmHpuxKWMIPphYxl2dc2hJyTrniU13L6FeY0Pik8Uk7\n1+TfijiuRWxTiXTIGXk5oFvTLueRutbldtKl4HQZ+Pj4+A5hTL40W84S2Wg0REyZfMk3vb+ystJz\nVx0JL9VqtcetkRKSkCvm4uIiVlZWMDIyIjJoksVNvnOOEpvIVxG0222RMIXaNDw8LK44aLfbePbZ\nZzE0NIRHHnlECKl0IbjsYrm+vo6JiQlMT0+LsSMBa3p6WljRyOJG/SChkfonjwk9Pz8/3xNHSP2h\nMdLxajT38lgn0T0uOpKkMKXfkurkak8Imr3rhDoC5yBxacyTytuNyEqLmsU9UTbEhcM66FN+3MWs\n8rtJ4IoV3E3r21f54AsOmsFxAKW5iWepNCsKsuyDTV1xNMvXKyDtPOSwJqZhL64zTtiMhxrvxOk1\nlHYeuVj+W61Wj7VKrZvKnJqaQq1WE+6SssBB9clulhTbRoIXfS//L1up6E66arUqrGOzs7NYWloS\nWTjlRCoUrzY1NSXufCPXR7KYPfXUUwCAiYkJ0adOp4Nr165haGgI7XYbGxsbqFQq4qJxAMKSKCdl\nmZ+f73EBJSsjtX1xcVHEDNK4kmBKwp48pvL9dfIYNptNIQyqCVbo+6RcDVmHvthehRBHD5MUFeqF\n65zoK6GO22QZUrjiLNvHr9jkXW53PQ6Y9nEvu99wWk24sBvHOQ5FcAHjiKO0aU+am7gJQseO7aZY\nNBuYClZpcZdcsD1X9tJc9Qt8eK20+dStQ9tzn6w8svshuRTKZahCg5yynxKoAL0K4vHxcSF80fu6\neDCyts3NzQlhiLC6uopOp4MTJ04AAM6cOSOENkqSQi6PFy9u3T1Pd8itr6+jUqlgdXUVGxsbOHHi\nBNbX17GxsYGRkZGeu+yOHj2KEydOoFqtiiyZ9P7JkyeF++W5c+eEYLi5uYnjx49jampKxOiRUEbX\nHKgXk8sJW+RkJ3StA1ksabxka6QMEpwoLpCsgXGCVJb3/iYpxU3elxHyCrA49JVQlxdMNJs+1pmi\nHGby5Zs+sO1P3v22gav1jXOOTVyx0t61eWavMsl5g1M7zgGT9mS1PvJah0Vf/zqaYMMgmzyfBhv6\nJD+ruySayyOixE640nXOcU9j1k3rIIGDkpiQsEDlkxWqXq+LUAoTiwwJI8vLy1hdXRWWPRXtdlsY\nHUZGRkRM3sbGBmq1Gubm5vC5z30Oa2trOHnyJFZWVrCxsYFOp4Pnn38eR48exaOPPoqVlRX85V/+\nJQDg6NGjwsUS2BIo6XJyGVNTUz3CVr1ex/nz5zE0NITJyUnhgtnpdDAxMSGEPTnzJl08/tGPflT0\nr1KpYHx8y61ydXUVlUpF1EFtIKFPFZplbw5ZoNPFElL7VldXtTxoVmuS22tAtlSalMu1r/pKqHPR\nGnFpqFXoJirUXTA+Lk4m76qLT4aJti2tTduHu3u708rmYFySNNgmgnxS2bJmz1U4MnWL5GbSdIiz\nmvsInP0AeUxN9kSStcLWYuWzF7M4GE3dZJJoks5txdZDo2jCcNGQtHZdYRKjkgZTuhtXv6n1cS/Q\npiLUaXom27yjq5vuiQO2eRhKINJqtdBsNlGr1XqSnal8G7kEqun46TsqX7bo0Xk+OzvbkyCEXCzJ\nnVJuK1ns5M+Dg4OYmJjA6OgoVlZWcP369Z5+1mo1tNttESdImJycFMJjtVoVv9dqNUxOTgorIf1O\nrpdy/BrdpzcxMSEuNgcg7sojQfjixYtCQAQghDwAwo1zdHRUa5Uj+j05OdkzfvT/+Pi4GLN+QNya\nL4ryu6+EuqKAW0DknHgfxo/LrTVPRqpo2ltqj8zoEgNCCMVgxX1vKkTI7VMZbZ0CYK8g64t8Q0Ne\nj75xC1klE/JRhmRVLyds9qr8vA2K5EFi0g9Xzbd6/9ZehavyI0t+xRQkSNC8ysKPXI98PQDtJTmR\niJwARc52Ten/V1dXhZBIFsGxsTFxXQFBjRmjNskCj+yCCQCLi4s4f/48HnzwQREzt76+jna7jenp\naSwuLvYIU+SmSVaylZUVkaVydHRUWC9lYUmN5aNnpqam0G63e7JaytbMY8eO9SRX0fGK8p6S3Ss3\nNjaES2gSdG6zpohT0su/pa01+XvOUC/T/nDtq74R6lwHOdSBlCbY2bqNuMa1cca26JC2WUza6TsH\nnNbWtL6abPi470zLbjQamQT9ysIYAOvLk5OgBvr6WJP7CSaWM1Nrhcl7NnX7Wrd9BLJQgpNOKWLb\nLp8gexOtbJGQRbtUr4O0+kwYLpt3de/bWB+LfNeoD2zGmcvd0mduXaGbe5m+qneo6eabYvEA9FxA\nLl+qTWn66XO73RYZNeVn6Z8sHI6NjfXE+QHbglStVuvJlHnt2jWcPXsWDz/8MIaGhoTVrF6vY2Nj\nA6urq+LdSqUi4unW1tYwMTEhEr3Q9QnUjvX1dSGsydk01YyWFEfXbrd77pOjfszNzYk+k/sqxQ82\nm03xmYRPObMnADzyyCM9c0HjJfPyIRSlWXnO6b7P81zoG6EuJEIHjnMROVMhTLWqqL8TTBZ9lswL\nRxxF0ru+2heXsdDNB9dY2gpU6gFnQ4RMhJm9AhtriI7ZcLGih0SW9aW5P8u/yYyXCSMeQlgtilU2\nBMPgSkvlBBO+7VEtkHHnlmkZMpL6lfd85g3T+HkXpYi6LrKkazS3VCfd7/abv/mbsQJYnOCnCick\n/NB1CJRhU/6dLu8m4atSqaDdbvdcCl6v1zEzMyOEqkqlgrW1NZw/fx7AtpWxVqsJi2G73cb58+dx\n7NgxTE1NiSQpIyMjGB/fTugyPT0tslCSsLqysiIEPKA36Qn9TiDrpMwj6c67RqMhFDt0nQQJnqT0\noTGSBWUCjRnVo7Oc27he655T59Rm/aUprZPqz5s/6huhzoQR5xjMLCbEh9FXCaZPO4lo2R6kNs9y\njGfR59MXvlpr03dCjEGRxzU0Qu2Z0OX1yzqQL6h1ZfR9YXpBct50Jk/G2RQ6Dw/XeeIS/HYzuJhN\n21jHNL6CYy7iFAqyK3mr1RJJQeR1RgKEnJZfdhcEgMcee6zne9m9c3V1Fc8//zyALYGQhDlZSCO3\nSlnwW1tbw6VLl4SFDdh2oRwZGcEf//Ef49ChQ8LNkyx6JHQdO3YMwJYQVqlUcPHiRZw7d070jWLo\nSPijWDwZFLdHrqCUWfPpp5/G4cOHcfToUXzzm9/Eo48+ipmZGSEszs7OirFWLw4nDyByQaW4OhIi\nAfRY6NRQFGqXL3QWXN33tiiKYs8UfSPUhQTHIZNWvg18Xdps6lPdaFxhFsuXTOBDWQy54oVc6la1\nW6buLjKhlMvhEtJ8rNOmWvUQe6nISJsjDqGdy23KFjord5Ibucz0m4yB7lnb/SqvSxvE0Sa1PbZw\nHX9uASSUizSHxTmU0mkvCnGmaDQasdYpFRwK3KQyuPgOQB/nTfSKrj2Q72mjxCayuyGBUvpT4hMA\nePzxx1GpVEQSEUpKAqDnKoOTJ0+Kcqhs+aoBykBJWS8nJiYwMjKCiYkJYbE7duwY2u02zp07hxde\neAEPPviguKuOrjW4fPkyhoaGRF0bGxvY2NjAysoKLl++jI2NDVFfpVIRfZWFrUqlImL0qB3PPvss\nVlZWRFwejZ8cmye7ppLgSHMh31Wn8pdUhsrX6AQ9W343je67elrZPpP12ayib4Q6M6Fh+3Mco5FW\npsl7rjAVYJI0A9yLgDafi9uLCUIKyzb1+4BL0xPXJtuDM00Yc2lvGjNewh5Fc10OgZBaTNMydS5i\nKh2nWJB4zX4YAScJKk30YaBtxsq2Li7Enb8AtDSNU8POpbXvJ8SdM6SgCWnttxXkbBUBuvlUlbc6\nYa3dbvd8p945R6jX66hUKsJLoNFoCJdK2WWQ6ApddSDfy0aZJkmYpIvI5+bm8MQTT+A73/kOgC1h\nqtPpYGhoCEeOHBFXEQDApUuXAADDw8NCwCJ88IMf7BHQqCxg6w66zc1NDA0NiesOlpeXMT8/L4RS\nAD0CLuHRRx8Vbp9UPvUB0F+0TuNK5VCcnzreccoEea+6nilxz9vwoDr+KitawUWb+kaoS4KL33dc\nOUD+TFhWgdwmbjRc1sG0DedbPue7PlYs37rpnbgDmUs4TlMsmLzP8Uy/IWnfZqHA4NYymj6rc39P\nUzpx1M91sAPxAmgoeusj6HHunaz3YUjFaFp9Sd/tZtgoZfNY7yHWgexqKbtcytcTANv9JfdAEkZI\nYJMFLwA7UvJT20+fPt3zNwBxaTe9NzMzI1wm5Vg1+n10dBT1eh3nzp3DkSNH8NBDD/Xcazc4OIjN\nzU0R83b06FFcunRJuHsODg7i8uXLeNOb3oSTJ09icXER9Xodk5OTwgI4PDyM4eFhYamjcXn22Wex\ntrYmLjKvVqvizj5VqKU+UKIVStYiC2X0P8X80Tvr6+ux7pTyPZSy9Y6SrND8zMzMOMWz+T5nAg5v\nmZBKpr4R6tI6ncSAuzIMrodynEDgK8C4anbz1E5y1c0paNkiD8EuqawQ69aVGVeR5zwVDaQwMfUc\n8K1LRug9XySLR5olhj7r3LPSGIashZHQ78atyTRwMlhyW3Sfdd9xuU4VYb2GhAn9LaLlwbdNJJRQ\nvJhaHu19uoSc6mw0GjsEOvUuN7K+yZkdgW2LFQkycj2EkZERnDt3Dmtrazhx4oTIRAlsCWgAxN/D\nw8N47rnncPDgQRw7dgxra2sAIAS7wcFBDA0NYWVlBTdu3BAxg9RWcqWk90jI63Q66HQ6OHbsGIaG\nhrC5uSkSrVCYBwnBi4uLWF9fx8WLFzE0NCRcSc+dO4eVlZWe+GZaa7IAR0KgnF1TXosUc0egZC5y\nhk/CwsICqtUqO51KgmzocKX/rm3g2pd9I9QlgWswspjAUMxQUrlc2ah82p4Ut2JaH1f8Xxp8baXY\nkgAAIABJREFUrVihkDUjXSTGvSjwZVC4vAp8UMR5zaJN3O59HJCtDdwu1Un1ZekNkheKML9ZwbWP\noccotHu2KmAAW8KWKtzKWTCpXXISFDnLpBwrRmWQBRDYdi0kAZL+kdAn35VHggrF05EwBWxdZSBb\n4IaGhnDw4EEcOnQIGxsb2NzcxOXLl3H48GFcv34dq6urmJycxNTUFC5fvixcRB988EEsLS3h6tWr\nePe73y2EOWBLiCWLIbl/kuWt0+ng3LlzmJiYwMmTJ0Uyl83NTdFmGhO6ZkHOskm/0b14VB9Z2+Sr\nImSDhNwGEqIJsiVQjs1LWgMm4Fagmgp9IRTwaSiUUMdBYPIm5KpAwCn06b6j55OIZ9oBnoU22tQl\nLclcHerC6zwE7aKAc33Sb1yX2BcZpuMWtx+53ZDUukK7mRR1TZtYJ0xpUT97FyRB5wKVBJ+17luu\naSx93O/9lrnOF0VSSGZl5ZCTONFn9doCYEvIoj1JghcJFOSSSUIFCW5UlhxHRvtHznBJkJ+le9/o\nnrZ2uy1cIknIo7g3ioH7yZ/8STz//PN47rnn8O53vxsAsLa2hiNHjuDSpUtot9v4+Z//eVy7dg1L\nS0viovJLly7h6tWrOH/+PDY3N3H8+HGMjIyg3W6LbJskJFECFLLo0dUG1WoVjzzyiBC4KK5PFkTl\n9+j6BBq7Vqu1g7bKwjCNN1lLZeWSLNj50IMkvsSkXMA/vje0Yi4NhRLqAH8irHtfHcw8Y6ZCTaiN\n5tVksepcPbk3m007Abs+2riq5nXw68YsJCPt4x5VYgs6JUoIN6OQB0Deh46uviy9Bghcc+ETY5Em\niHN4VejGOWTcp2nbTOBDm0v6lQ6bMeJygY0r09aKTAKcDnK81+LiIkZGRkQWSxLa5PaR8CFbhkjA\nO3PmjHCfBLYFN7pHTobuvjW6GmB1dVW4UZ44cUK4ZR45cgRXrlzBzZs3MTQ0hMHBQdy6dQubm5t4\n9NFH8dRTT2FiYgJXrlzBhQsXcP78eUxMTGBwcBCXLl3C5uYmjh49KuLtgG0r4crKCoaHhzEyMiJc\nJ5944gmsr68L6xsJZHFWMfmKBkK1WkWtVsPy8rLIlAlsZ7ekKx4oWydZCRcWFoRFk/hvyjQqJ3Ch\ncZbnyAWhPBO4aMuuj6njODQ5k6UkCX+htJeuk5v2XtIGyVObqaZKT2qD6xykQdZcc5Tnijxc8zjX\n525molSrhuscZbXGXAQNFUn7zd8VO/13H4azCFZGEqJ84jO44HO/aah2c5znaWfCbqZJ/QaTfW2i\naFfph7xG5FT55Aq5vr4urFEAeix1BFmgka18dAXA2tqauDsO2L7AWwdVOGo2m8La9dBDD4n75QDg\n0KFDuHLlinC5fOGFF/DBD34QAISL5YkTJ8T7o6OjuHnzJq5du4aHH35YWM2Gh4dx6dIl3LhxA0ND\nQ1hdXRXtJcsbCVSdTgeVSgVTU1NYWVnZcZcdsHUvHSUwoTg5YNs6SS6uAHrGFoAQ5kZGRoQVU7Ze\n0pgAW2uBhErKJErQ7X2X/WyyppKUaxxnXZYW9EIJdYA/ETbVlu8lYu/CiNsu7Dy0+0mwYTzz0l7r\n2hXKVStvgXW3wFVIsF1becxTnmujyFZkTsWd7frhUPLlqaSSkYdAuVfoXhb9tLG6mUAngKcpQGTF\np3xHnM5CJlvUZMhJPGQlqny9gSywzczMiDvjKNNktVrtSexBcWsjIyM9dc7Pz2NlZQWTk5Piou/L\nly+LzJLkdlipVPAXf/EXoryhoSFcvnwZ3/72t3Hx4kUAwM2bN3Hw4EEcOXIEg4ODOHv2rLjnbm1t\nDUePHsXRo0cBQCQ6obi/SqUiBEk52+b6+rq4oB3YjpWTE8WQkKYmMllaWhJWN3qe3DvlMZYvKZ+e\nnu5xv2w0GuJvKkO1oqrzr/7mGrIUaq+4upVztatwQp0OITqeVJdMWFyEGJO4o7jfTILmTdthijwP\nPB+rFLfriK+ZXy3Dhdl3PRCLgCK2iQs2c5lkDXdZ7y70hGMObF0FTZGmRLEtO1RMIRc458K1TG7a\nZvJ8yPpc1n2eLqd5gJMem9CgNHDtSZU3Ghsbw+LiItrtNmZnZ4Wgpt5Tp2Z6VMsEICx0snUK2M7S\neO7cOXQ6HczOzoo21Ov1nmdlK1+9XsfFixfxUz/1U0JwevDBB/Hcc89hbW0Nx48fx+nTp7G0tITz\n588DAM6fP49r165hZmYGFy9exLVr10SbgC0L3vXr13Hjxg0AwHe+8x3ce++9ePTRR4X1jSxqTz/9\nNA4fPoyHH35YXGPQbrexvr6Op556CsPDw5icnBRJUzqdzo6774BtYZXi7NRrDYBtd1USpkm4kwVE\nYGf8Gs0NxSDKz3GsGdUbzBYcZ50pOLzm+kKo80VooZC7TLr7hDYgaTeoLtok5CNNmipKzTs6OipS\n8JIWhLIWUZlqxif5bwDCZE9mevqN/MtJO/TCCy/gwQcfFIG/pFUiQnTlyhW0223cvn0bwA929PUD\nH/gA3vnOd+Lo0aPY3NzEtWvXhPaJ/OCXlpbExqQLQKkfwLarABGpubm5ng1MYzY6Oopms4n5+XlU\nKhWcPHlS+JLPz8/j4sWLOHbsGAD0+MvLWkCd5q/RaODxxx8HsO0XnkUmOxtkydTtZiTFoCa5zuaZ\n7ZIDca7oOtpC2ltg25WJ3HHUC2zHxsbE/lQPX6JL7XYbzz77rHA5ojTb5LJD+5aYE2DbJYj+Pnv2\nLAYHB3H8+HHB8BCt2opD+esdff6Zn/kZEdhP7VldXRWM1vXr1wEAV69excGDB3H8+HHBOH3zm98U\n7X366adx9epVPProoxgZGRGuVMTkARA0lvpFn4mOq9/LUNfiE088gdXV1R46mBY7zbW3ZVqbV8Kk\nPFye8kZoq4NPG2wEcBer+Pj4uNjv9LsqtBH/oiZPUcslSxXtM1lAlBOxAL0xfTI/0ul0sLi4iKmp\nKdRqNbHP5T1O98iNjIyIth4/fhzAllB35coVkdHy4sWLGB4exsc//nE8/fTT+P73vw8AuOeee7Cx\nsYHbt29jeHgY6+vrPcLl0tLSDppBFkWZ9lSrVUxPT+PJJ5/E2bNne+IPZYGs1Wr1CLOyN5TMOwK9\n5538PfG2JDzKCVI6nU5PIhp5jJPCc0IruEJ4kaiKTU5aFXW7XZaCfBFFUdemLRwB5D7l+LZFfudz\nn/uc0NIAEH7SL730El555RVMTU3hzW9+c4+AdODAAbz88suCoRgbG8Orr76KO3fu4Ic//CEA4MCB\nA7h9+zYOHz6MO3fu4O7duwCAH/7wh+h2u7j33ntx5MgRHDp0CC+//LIQxAYGBvDaa68BAGhO7rnn\nHrz66qvOY7QF3fxGxm8PDAyIPhDGxsZw6NAhvPjiiwCAe++9Fz/60Y/EmGxubmL//v24efNmj0vF\nwMAAhoeHsX//fhw8eBCNRgP79u3D8PAw7t69i+HhYbz97W8XGZ0GBwfR6XRw4MABnDx5EtevX8cP\nfvADHDlyBO9+97vxN3/zNwC2hFTCiRMnBEMmM8O+ay6vhBYEm3qjKEK32zWf5AJCpk2uzLFJPJrp\nvGbBoNNhSkqfTqfT4+7z9NNP4wc/+AEOHDggsrcdOHAAV69exZ07dwQD1G638cADD4hyDxw4gI2N\nDdy5cwf79+/H1atXMTAwgMOHD4vvDxw4gDt37uDVV1/Fvffei+HhYWxubgrN9ODgoKBVfPCjTSri\n6OXr+wH33HMPAIhnBgYGMDg4iOHhYbTbbQwMDODGjRuCFo2NjeGhhx4CAPz93/89Xn31Vdx3330A\ntsb02rVrQjl2/vx5vPTSS3j11Vfxrne9S7wHbGn1jxw5Iu6+Onr0KB555JEdSQpMoFtv8uXBWbs3\n2dKp3UCbAHveyQbc/BFXXK5aNkE+Y0m5IKfelwUMVWEObLlL1uv1HkUOQb58W467q1arqNfr2NjY\nwMTEBIAtJdJDDz3Uo2iihCHnzp3ryVBJ+NM//VMcPnwYAPD8888LWnmrdQuV1yqoDFTw6quv4u7d\nu7g+cB0/3P9D7DuyD+9973vFHiel9+rqKpaWloSVDti22hENp8vLVeX55OSkEOrIHZUUbLSvddY2\nYFvxpArA8u+kHKvVasJqKltVZXdM3RxlCRfvOdvyAf0ecKVPhbLUkbk1JNMawnricrjIZtb19XVc\nvnwZL774ohDYbt++jatXr+LmzZsiw9Dt27dx48YN3HPPPYIJAoAbN25gdXUVBw8eFIyPjDgG6Nat\nW9prAlTBCQCDQOcPXbvU9lM7b9y4gRdeeCGxrKtXr0I+DO/evSsI8MbGhtCC3bx5s+fZv/7rv8bA\nwACALS395ubm65ZI4LnnnhPlXbp0SVg7T548qXVj4wD3oanTjiVZovaSJY/LR9/EzUKdyxBJdOLa\nvry8LGJAXnjhBVy9ehW3bt3CSy+9hBdeeAHLy8toNpsYGBjA2972Nty+fVvslXa7jT//8z8Xe/GV\nV14Rv9OFu0S7CDKNkmnYrVu3REY33bNFRRy9JBqi/n737l1Bc1TQ9xcuXMDt27cFHYyiCAcOHMCt\nW7cAbKdHv3HjBvbv34+NjQ08//zzqNfruHnzJn78x38cFy5cAADBBA4ODu5weQLc17mc1S4vFMlD\nIiuESsQTSmmu0jPXuSGhgyw+lElxZmZmh1VbdrGUFbxq3WTFkl0ICXKWTMou2el0sLGxIbJMdjod\nQefk6wAIly5dArAl5J0/f15kwLxx44ZQ0t++fRtDB4cweXkS/+Lmv0AVvfFsuAO077Tx5c6X8cbh\nN4qYvbNnz+Lhhx8WbpJUz8bGBt70pjfh+PHjwr2y1WoJobLZbIrYwU6nI7J1Eu9C40DnFnlnzM7O\nCkGNBEH1agPZa0N2f5UzlALbwtz8/LwQpkMJdDbGnZBeNiH2bKGEOhtwmVDT4jtCQSZmlUoFN27c\nwMsvv4zBwUG8853vxJUrVwAA999/P65evYobN27gzp07ACCsbocOHRIMULfbxWuvvYZ77rkHr732\nmlYAKtGLffv24cCBA1pBeGBgANeuXcO+ffuwf/9+vPrqq4iiCG94wxsAbLlP3LlzB3fu3BGXhrbb\nbVy5cgUHDhzAAw88IDJdbWxsWBMG2+DfLJDErLmm+N8rMIn3ShovOWNbFpdoT09PY3V1FefPnxcB\n+gcPHsTGxgYOHz6M6elpoXS6cuUK7ty5gxs3buD+++/Hfffd1yN4yZ/v3r2LN7zhDVrhpUQyVDpF\nXga3bt3CoUOHhEB35coV3HfffYLm7N+/X6RJP3r0qJi3n/7pn0alUukr1+CQCQb6Hf0wDjK/xSH8\nj42NYXl5GUtLSz2ufPQbnUvT09OiruXl5Z7kIDJmZmYwMzODpaUlLC8vY3Z2NtaSNzo6KtwZKVxE\ntgZSmArFucmxakePHsXk5KSggy+99BIOHjyI+++/H61WC5udTYysjeC37/w29mGftu9VVPGvb/xr\n/M7/8TtYXV3F1PEpHD16FGtra6J/a2tr4hoFWaADINq/trYmxmd6eloIvcS7yC7g8/PzQmDsdDpi\nfOmzmr2S3DdrtZoQBOVnxsfHsbCwgHa73TPOslUwNJIUplnvJY497C3URVH0MwC+CGAAwBPdbvff\naJ75dwB+FsB1AB/vdrvndGW5WjI4XDE5tXsmjO34+LiIfVhaWsLS0pLQuD7//PN44IEHcOTIEWxu\nbmJ8fBwXLlzAzZs3ce+99wrXnZs3b/aUec899wgXKBk6t8USWwzmnTt3cO+99wpLG2nSDxw4gNde\new23b98W3+3btw8DAwM4ePCg8GcfGBgQd8pcuXIFt27dwhvf+Ea86U1vArCVxYriDePgu5HjBAZT\nK5AKnWaMy0KVNbjoU5Im3GWcbfzugd67lTiQNne1Wg2Li4sAthRLN27cwIULF3DfffdhcHAQg4OD\nGBoawu3bt3sEtB/96EdC+0vC3N27dzEwMID9+/fj1q1bePnll9n6sdsRRRH27duH1157DaqL3f79\n+zEwMIB7770XN27cwMWLF3HkyBFxPvzoRz/CzZs38dBDD+HQoUNotVp45zvfiee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VAAAg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\n+oVGmdFJDi2MdaZh2UJJinXM86NkI4sKB0nZ1jGem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       "text": [
        "<matplotlib.figure.Figure at 0x8c6d950>"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "I am planning to continue this tutorial with more examples in the future, so, it would be very useful for me to have feedback from potential users."
     ]
    }
   ],
   "metadata": {}
  }
 ]
}